The tricky part is that in 5 card draw, your opponent doesn’t just draw 5 cards randomly and that's it. They might replace some of their cards based on some rules of thumb, which will make the probability a bit nightmarish.
Not to mention they'd have to know you had a monster hand and go for unlikely draws. If they were just playing the odds in a heads-up game, they'd often want to hold onto lesser but already made hands.
@@TheGuyCalledX I've never once played triple draw, but still occasionally play 5-card draw games so that's not entirely true. Maybe in certain circles or in many regions, but I know quite a few casual plays that enjoy variants of standard 5-card with a single draw.
I’ll have to say that there’s another way to get a full house that your opponent can’t beat with another full house, I’m jut referring to the full house not the other hands If you do KKKAA, it’ll also be impossible to get a stronger full house
This unfortunately only applies to games without community cards. In Holdem/Omaha for example you could still loose to AAAKK, unless you have 2 aces in your hand and the community cards are 3 kings
Yeah! But kings over aces allows 27 straight flushes (and a royal flush if you leave a gap suit); which means it's equally as good as aces over kings for this situation! But still loses out to aces over nines/eights/sevens/sixes at 24 straight flushes (and also to aces over tens or aces over fives which allow 25, or 26 if you have a gap suit. (Well technically aces over tens with a gap is 25 straight flushes and a royal.)
The concept that's really being covered here are what we refer to as "blockers" or "removal" cards in a hand. These help to narrow an opponent's range of hands he'd be willing to play based on what's on the board and possible hand combinations.
Should be noted that "BEST" in poker is not always about what hand wins the most often, but which hand can be leveraged to win the most when it does win. For instance, KKKK may actually be better than AAAA because it makes it more likely that someone has AA or AAA and calls massive raises or makes raises themselves.
When I clicked on the video I assumed it would be going in that direction. While the math/odds part is interesting, it's definitely not realistic in regards to trying to "win" or "extract the most value while winning" which is extremely important in Poker, especially tournaments. AAAKK has a lot of blockers that prevent your opponent from getting decent enough "lesser" hands to give them the confidence to stick around all the way to showdown. In fact if they get a good enough hand they may do most of the raising for you. In those cases a lesser full house may be beneficial.
11:30 this is wrong. In Texas Hold‘em automatically the best 5 Card hand for the player out of the 7 cards (5 community cards + your 2 hand cards) counts. For example if there is a royal flush on the table, every player has the same hand. In this case it‘s a split pot because the 2 Hand cards of the players dosent matter
Which is also why calculating a “best full house” in Texas Hold Em is way less “mathy” than the 5 card draw example in the video. It’s all dependent and what the community cards are and where the 3 aces are. (And the answer is basically always Aces full of Kings) 1) If there’s 3 Aces on the table you want KKs 100% of the time. Any straight flush “blockers” are marginal compared to losing to higher full houses. 2)If you’ve got pocket Aces on a paired board with an ace (let’s say AXX rainbow is the flop) then it still barely matters what the board pair is. In actuality you’d still want the board pair to be kings because it means there’s only 7 board runouts that beat you by the river: with 4 of a kind kings, runner-runner 4 of a kind and three royal flush runouts and a K high straight flush runout (with villain having 10,9 suited in hand, QJ runout). (Also we want the flop to stay rainbow because despite it introducing an extra suit for royal flushes, having any suited AKs on the flop means a QJs runout allows any 10x of that suit to win a 4 card RF). 3) if there are 2 aces on the board it actually gets tricky again (I think it’s still AK but I’m less sure). You obviously want Ax where your paired hole card is just highest pair on the board for at least chopping the last identical combo of Ax. But for similar reasons to pocket Aces, AKo is ideal. You want your hand to be offsuit where your ace matches the board K’s suit blocking a RF and your king matching either A to block another RF. The board runout can then only lose to a runner-runner 4 of a kind, 1 straight flush combo suited to the second board ace and one straight flush suited to the board king.
Interesting! For what it's worth, this can be logically proven quite fast without including distributions: 1. AAA** or KKKAA is forced to prevent a beatable Full House. 2. Quads is not affected as we block two values fixed. 3. This leaves RF and SF which are conceptually the same, meaning that the pair should block as many straight flushes as possible. 4. It should be a pair that blocks as many SF that don't include A as they are already part of the hand, eliminating KKKAA in the process. 5. This leaves any trips A with any pair from 6 through 9.
@@regulus2033I’d say the video bloviated in its discussion of this same solution. I went through this exact same thought process, but the way it was explained in the video sort of obfuscated this main point.
However, in Texas Hold 'Em, it's important that two of the Aces are your hole cards. Otherwise, your opponent having the remaining Ace means that the hand comes down to the pair. If you have A-9 while your opponent has A-K, and the board reads A-A-K-9-X, you lose.
For Texas Holdem it becomes a lot more complicated, as plain odds and probabilities are not enough. In 5 card draw, if your opponent hits a weaker FH, a flush or even a straight, your chances of getting paid are huge. But if the community cards in Texas Holdem reveal 3 cards of the same rank or 2 pairs, the chances of getting called by a flush or straight decrease dramatically. Also, if you get Aces and don't underrepresent them a little pre-flop, when the board comes A99, the opponent is highly likely to fold. And lastly, a weaker full house means your opponent can have a lot of AA and Axs (that can make flushes) to call you with. That being said, I'd prefer something like 9s full of 6s, with pocket 9s in my hand and the board looking something like T9664, with a potential flush (but not straight flush) there. Yes, I lose to pocket 6s and pocket Ts, but the amount of weaker hands that might pay me is just too juicy.
@@YATAQiBecause the question is far more interesting than "which full house loses to the least hands." If you had tried to answer the question "which full house makes the most money on average," it would be a far more interesting and useful question to answer for poker players
7:51 I've been knocked out playing hold em in a live event as the bubble guy after calling an all in on the flop while I had AA in hand and flopped AKK, other guy had KK😑
A full house with three Kings and two Aces (preferably containing an ace of a different suit from your kings) cannot be beat by any full house. By having three kings rather than three aces you reduce the number of straight flushes.
@@baileydwyer453it also blocks more straights. When we have a boat, we should not be thinking about the hands we lose to, but rather second-best hands that we beat. If you get coolered you get coolered.
My concern would be maximising my odds of getting money out of my opponents potential hand rather than minimising my chance of being beaten. So I wouldn’t want any aces in my full house
This is an excellent analysis, but it's missing a crucial part of poker -- betting and calling. If I have three aces in my full house, and make a big bet, the likelihood of my opponent calling with, say, one pair, is small. If I have KKKAA instead, then there's a slightly higher chance my opponent calls my big bet with a pair, since he now has a pair of aces in his range. The same argument applies to hands with two pairs, with aces up more likely to call than any other two pairs. With ace high flushes and straights, you're now much more likely to get raised by those hands, and slightly less likely to get raised by smaller straights and smaller flushes. All things equal, I'll take my chances with KKKAA, because the added probability of getting bets called, plus the added probability of getting raised by an inferior hand, outweigh the added probability of more stronger hands beating mine. I'll win slightly less often, but I'll win bigger pots more often. I hope that makes sense.
You know, I do actually agree with you haha. It's like having a category in between high card and pair that's called "high ace". Royal flushes are just subsets of straight flushes. But according to official ruling, a royal flush counts as its own category so I'm just following that :)
@@YATAQi i feel there may be some variants of poker using wilds where a royal flush made without wilds beats 5 of a kind but 5 of a kind still beats any other straight flush, but i'm not entirely certain.
@@wfchannel4673 One more thing: Is the probability of 5 of a kind lower or higher than Royal Flush. I guess it depends on how many wild cards are included… If it’s only one wild card then 5 of a kind should be the most rare.
In terms of probability to win, that choice is definitely the best, but if I could choose a hand to have, I would still prefer AAA22 because it maximises the probability that the oppoenent will have something that I beat, but isn't valueless. With the given choice of AAA66/77/88/99, it eliminates a *lot* of straight possibilities that many people would bet with.
Exactly, by blocking straight flushes, we are also blocking straights and flushes that might call, especially the broadway straight or an A-high flush... A hand like KKK22 would be much more preferred compared to AAA 66-99
Nice vid. The best full house would not be the one with lower chance of a higher point: if you got a full house and the other does not have anything, its value is a small blind. The best full house is the one granting the opponent the highest chance of a point _just below_ your. What is the full house granting you the highest chance of a Flush _that is not a Straight Flush?_ This could also be a small variation to the present exercise: you have assessed that the best FH is AAAXX, with X being any number between 6 and 9, any rank. You could work on this degree of freedom now, to assess the best ranks to have the opponent get a non-straight flush. Is it better to have both the X of the same rank of the As, or the missing one?
I think AAA99 is still the best full house in holdem? But it definitely needs to be pocket aces with 2 ace, and 2 9s on the board. No connectivity between the ace and 9s for straight flushes, don't lose to any full houses, and no 3 of a kind on the board to make quads more likely. Another interesting one is what is the best full house in 7 card stud. You get 2 more blockers, they get 2 more cards. Trying to figure out if you are in a better or worse spot. Surely worse.....right?
AAA with a pair of 66, 77, 88, of 99 so that you can block more straight flushes that might allow your opponent to cooler you as its impossible for the opponent to have AAA since we already block three Aces
You may argue that having 3 aces is not as good as having 9's over 2's because with the aces still out there it increases your opponents odds of having a good 2 pair or set which would increase the likelihood of you making more money on the hand. If you have 10's over 2's and your opponent has a set of aces you are likely to win a big pot but if you have aces over 6's and your opponent has a set of 2's they are not as likely to put a bunch of there chips in.
My intuition told me AAA99, happy it was partly correct. I was thinking more from a texas hold 'em perspective with shared community cards and reducing chances of getting coolered by a straight flush. So when I realized it wasn't involving community cards I started second guessing my intuition. Regarding the question you posed at the end, looking forward to that video to see if it still holds true, but I just think it might :)
In Texas Hold'em, you'd also have to consider what cards would likely be part of your opponent's range on each street, and how likely they'd be to check, call, raise or fold. And how each possibility would affect your chance of getting maximum value. Or any value at all.
i’d like to argue that the full house is the 3rd best hand in the game and that a straight flush is the 1st because a royal flush is really just a straight flush
The answer to your new question 'What full house would you choose in hold em?' is that it depends on which cards are on the board. 3 aces on the board is a different scenario than A99 on board.
Not to mention chances of actually getting called depending on the community cards. A weaker but better disguised FH unblocks more weaker hands your opponent might be enticed to call with (high overpairs, suited aces that make a flush, maybe some straights). You might still have the best hand if the board shows AAA or AA99, but you'll never get money from any flush or straight in this scenario.
It is quite insignificant. No player on the planet is going to fold aces-full of anything when playing 5-card draw. If that hand loses, well then it just loses.
@@OneDerscoreOnedera bad math video lol. My guess is your chance of winning money with a hand like 44433 is far greater than your chance of winning with AAA66. In 5 card draw, Aces are the #1 cards you want to unblock if you have a nutted hand, because they are part of so many strong value hands.
No one plays 5-card draw anymore outside of Grandma's kitchen table for matchsticks or pennies. And the world's biggest tournament--the World Series of Poker Main Event--hasn't been winner-take-all since the late 1970s. It has also always been Texas Hold'em. 5-card draw was last offered as a side event at the WSOP in 1982, and no brick-and-mortar casino offers it anymore either, at least that I'm aware of. So this is an interesting thought experiment, but it's absolutely worthless for someone who's serious about getting good at poker and playing for real money.
@@kplewisvox I didn't know that! Thanks for the info. That said, Dealer's Choice is one tournament, and 5-card draw is one game out of 20 played in that tournament. My overall point--that if you want to be really good at poker and win real money, then this video isn't much help--remains valid.
To be fair, I don’t think that the video is meant to be used by someone hoping to win at a modern poker tournament playing, say, Texas Hold’em: the whole premise is that you have magic powers that predict full houses…
I feel like there should’ve been an analysis of tens over fives done as well, just to ensure the benefit of removing the most possible straight flushes isn’t greater than the loss of allowing some stronger full houses.
imo, a bit more should be said about "3 aces not going anywhere" KKKAA would also not have any stronger fullhouses (tho it covers same number of flushes as AAAKK, thus losing to AAA66 obv) and the rest of KKK__ needs an explicit computation that greatly diminished number of stronger AAA__ full houses is still too large compared to covering some flushes with K rather than A
That's a great point! KKKAA would kind of serve the same purpose as AAA__ as far as being an unbeatable full house. But AAA__ offers the flexibility of being able to adjust the pair to your liking. And yes KKK__ would also be a solid full house no matter what the pair ends up being, but like you said, there are too many AAA__ full houses that can beat it and so it does not end up being a good idea. But definitely a thought worth considering. Thank you :)
@@YATAQithis is wrong. In 5 card draw, the #1 card we want to unblock if we have boats or quads is the Ace. So many strong hands that can call have an Ace in them, so we don't want them in our own hand-- as we'd be blocking a ton of combos of 2nd best hands. Likewise with the idea of blocking straight flushes. Straight flushes are so uncommon that to build a strategy around them is completely not worth it. I'm far less concerned with blocking straight flushes that I lose to than unblocking straights, flushes, trips, two pair that I beat.
Lowk two’s full of three’s might be the best full house in holdem bc you unblock all the combos of Aces’s and high cards that they will likely call your larger bets with. If you have Ace’s full of Kings, you’re almost never getting paid off because you hold all the cards that are likely to be the winner at showdown
To maximize value, full house combos that maximize the chances of opponent having strong but beaten hands (like strong sets or straights or flushes) would be ideal. You bring back up the chances that they'll hit a straight flush, but increasing the chances that they have a straight OR a flush means they put more money in the pot.
best full house for texas holdem would have to be 2 Aces in your hand, with a 6-9 in your hand, community cards: A, 6-9 pair, and then 2 more 6-9 of different suits such that they don't overlap.
Texas Holdem seems more trivial, as the board can basically make it impossible for you to be beaten by anything. For example (AA) AKK82 only loses to one hand (KK), while (AK) AAK82 never loses, but draws to two combinations of (AK).
In Texas Hold’em it would be pocket aces with any pair, because you have pocket aces they lose access to 2 of them meaning they can only get a pair of aces
I'd like to see the math on 10s full of 5s. There are some higher full houses but you block 5/8 of all possible straight flushes since a straight requires a 10 or a 5.
I hate how a flush beats 3 of a kind. In Texas Holdem, it's EASIER to get a flush than a set. When I played with three of my friends, we kept winning with a flush, while it was rare to get a set.
So my guess is that you're looking to eliminate good lines for your opponent to play. There's nothing you can do about them drawing 4 of a kind, but you can try to eliminate straights (you only need to stop straight flushes, but same deal). 3 aces and 2 kings would technically be the strongest vs. another full house (in a magical situation where they can also get 3 aces), but there's still a lot of straights that you aren't removing any card from (anything from Q thru 8 to 6 thru 2). So do you want something like three 10s and two 5s? That means any straight requires one of the remaining 5s or the 10, right? That does open you up to a better full house, so maybe you 'only' downgrade to like Aces and 9s or something, to have the best full house while still blocking most straights. The question is blocking more straights lowers the probability of them beating you more than preventing a better full house does, and I don't have time to do the math on that.
I'd much rather have KKKAA than AAA66 in 5 card draw. You can still never get beat by another full house, but you can get called by more Ax or AA hands because you unblock an A.
as much as i agree with you I still find the idea of eliminate the royal flush all together more secure, so three aces any suit and two tens one of which being a suit not shared by any of your aces, yes you have a double up on one royal flush however is that one hand really going to mean much when a full house will typically carry any day?
I think the Texas Hold ‘Em example is much more boring, with AAAKK being the best full house in basically any scenario. (This is not a comment about value or actually getting called, it’s a hypothetical pre-flop all-in where you get to pick a full house). And it’s largely for the inverse reasoning of 5 card draw wanting your pair to block as many SF and RF as possible. Well in Texas the community cards means valus like 7s, 8s and 9s open up the most hands, so a pair of kings limits to just RF and king high SF. Here are the three scenarios for how your Texas Hold ‘em FH could work, depending on 1, 2 or 3 of the aces being tabled. 1) If there’s 3 Aces on the table you want KKs 100% of the time. Any straight flush “blockers” are marginal compared to losing to higher full houses. 2)If you’ve got pocket Aces on a paired board with an ace (let’s say AXX rainbow is the flop) then it still barely matters what the board pair is, but you’d still want the board pair to be kings because it again it limits the SF and RF potential. There’s only 7 board runouts that beat you by the river: with 4 of a kind kings, runner-runner 4 of a kind, three royal flush runouts and a K high straight flush runout (with villain having 10,9 suited to board king in hand, QJ runout). (Also we want the flop to stay rainbow because despite it introducing an extra suit for royal flushes, having any suited AK on the flop means a QJs runout allows any 10x of that suit to win with a RF). 3) if there are 2 aces on the board it gets a little tricky again (I think it’s still AK but I’m less sure). You obviously want Ax where your paired hole card is just highest pair on the board for at least chopping the last identical combo of Ax. But for similar reasons to pocket Aces, AKo is ideal. You want your hand to be offsuit where your ace matches the board K’s suit blocking a RF and your king matching either A to block another RF. The board runout can then only lose to a runner-runner 4 of a kind, 4 of a kind kings (opp pocket kings), 1 Royal flush combo suited to the remaining board ace and one straight flush suited to the board king.
Nice video. I think that you should've done the calculation on the full house of kings to show that it's worse than aces, and blocking more straight flushes doesn't make up for allowing full houses of aces to beat you.
I'd rather have a full house without Aces in Texas Hold 'Em because at a full table it is somewhat likely that the other ace was dealt and that it will be in play after the flop.
Great video, glad i stumpeld on this channal, 1 note tho. At 11:30 you say "keep in mind that texas holdm allows you to share up to 3 cards to be shared between players best hands" this is actually incorrect. It actually requires you to minimally share 3 cards with your oppenent. Since there are 5 community cards and 2 personal whole cards and you can use any combination of those cards to make the strongest 5 card hand
@@jeffreyweevers3919 The key word here is “best”. Because you’re right, both players do share the same 5 community cards which they have to use 3 cards from, both those 3 cards don’t necessarily have to be the same ones. Consider this example: Player 1’s hand is A,2 and player 2’s hand is 8,9 while the community cards are 3,4,5,6,7. Player 1’s BEST hand is the straight A,2,3,4,5 while player 2nd BEST hand is the straight 5,6,7,8,9. So their respective best hands only share 1 card in common here. I guess a more accurate statement would have been “1-3 cards” instead of “up to 3” because 1 is the minimum. Good observation :)
@YATAQi sorry, english is not my mother tongue so i probably didnt explain it very well. The point i was trying to make was that you could share 4 or even 5 cards of your best five card hand with your opponment via the community cards as you are not required to use any of the whole cards in your hand. If the board where to run out to a royal flush, it would be an auto split pot since both 2 cant makr 5 hand better with their whole cards
@@jeffreyweevers3919 Oh I see what you mean - you're totally right! Both players' best hands can technically share 5 cards in common (if the community cards make up the best hand). Not sure how I missed that, thank you haha!
@@YATAQiyes that’s correct. For anyone still confused, with rules of holdem, Players A Hand of A2 on a board of 34567- the best hand here is 34567. The players own cards don’t play, only the board. This is important since this means another player with 67 will have the same hand as player 1 with A2. This changes the probability slightly.
Wouldn't all AAA-66/77/88/99 all have the same value, they all counter the same amount of straight flushes and they counter every full houses as well? So they would all be the best at winning the hand against other possible hands.
There is one big area you missed since we are magically controling what cards we get we could arrange it to where are first 5 cards are junk we dicard allowing us to magically control what those 5 cards are allowing us to add 5 more blockers to the equation allowing us to block 5 more of the possible 4 of a kinds that can best us along with more straight flushes reducing the number of 4 of a kinds are opponet can get down to as low as 6 and eliminate so lets say we discard a 10, 9, 7, 6, and 5 of varios suits before drawing are three aces and two eights giving us Aces and 8s now the only 4 of a kinds that can beat us is 2s,3s,4s,Js,Qs,and kings we manage to eliminate all royal flushes and steel wheels using the correct suit combantions and thus ripping through a lot of the possible straight flush possibilities as well if the 5 and 10 are of the suit of the ace we dont have and the other 3 cards are of the other three suits
Ngl, this video really misses the mark overall. You considered which hands we lose to that we block, but you're not considering which hands that we win against that we unblock. You're generally going to make a lot more money with strong hands that unblock Ax than you will with stronger hands that block Ax.
If we only care about winning the hand, you first need an unbeatable full house. 3 aces are enough to ensure whatever full house your opponent can get is beaten by yours. That's the easy part done. Now we need to minimize the chances of our opponent getting a hand that's stronger than a full house. Unfortunately, there are too many cards to ensure a win, as the same number of four of a kinds are always possible no matter what, but the next best thing is a pair of tens, which reduces the number of possible flushes Now do the suits matter? Yes, actually. One of the tens needs to be the suit that isn't among your 3 aces, else you leave that flush on the table. agh so close
The best full house in texas holdem where the flop has all 3 Aces and say a king and a queen would be to have a king and an ace in your hand, you are guaranteed to win with that hand
After putting some thought into this the description you give would be if you were playing 5 card stud where you get 5 cards and only 5 cards. I think I found a combanition of 5 cards discarded your first 5 cards and your 5 cards drawn ie the full house in this instance Aces full of 8s that will only leave a total of 12 hands that can beat you 7 four of a kind and 5 straight flushes will say for your hand A and 8 of spades and clubs and A of hearts this right here will decrease the number of straight flushes that can beat you in spades and clubs down to 3 each 2,3,4,5,6 3,4,5,6,7 and K,Q,J,10,9 now at this point diamonds is unprotected but with the cards we discard 5 and 10 of diamonds removes any possible Straight Flushes/Royal Flush in Diamond then with the 8 of hearts being discarded from the first hand that narrows the possible Straight flushes left down to 9 total and our 4 of a kind is down to 9 possible hands then with the last 2 discards being the 4 of clubs and 6 of spades that removes the possible 4 of a kind in 4s,5s,6s,8s,10s and Aces so we are done to only 7 four of a kinds and with thise 2 cards we have elimated the 2 samller straight flush possibilities in both spades and clubs to all that is left is a 2,3,4,5,6 and 3,4,5,6,7 of hearts and 9,10,J,Q,K of spades clubs and hearts so thats 5 straight flushes and 7 4 of a kinds that can beat your hand I think getting it down to 12 hands is pretty good be cool to see if someone can get it lower with 10 cards and making a full house
Halfway through the video and I’m guessing it’s 3 kings and two aces. All different suits and the aces need to have one suit that the kings don’t have and one suit that matches a king
I only watched 2 minutes. I think I know where it's going and if right I'm proud to say I've been saying this for 40 years. Kings over aces because you need two aces preventing other players from having three aces
Technically a royal flush does not really exist. It is just a straight flush. Otherwise there would be a royal straight as well. This makes a full house the third best hand.osinh only to 4 of a kind and a straight flush.
Related puzzle: The 52 cards of a standard deck are revealed face up. You then play a variant of 5-card draw with 1 opponent that works as follows: 1) You choose any 5 cards you wish 2) Opponent chooses 5 cards of the 47 that remain 3) After seeing your opponent's pick, you may discard between 0 and 5 of your cards and draw replacements as you wish from the remaining 42 cards 4) Opponent has the same option, but may not use your discards 5) After all this the higher poker hand wins. However, since you clearly have an advantage going first, your opponent wins in case of a tie. Question: What hand should you pick in step 1 to guarantee a win? Bonus: How many winning selections are there?
I like this question. My initial thought is we take the 4 aces. I don't think the 5th card matters. When they make a straight flush, you discard 3 aces and make a royal. If instead they take cards to block your royal, with their first draw, it's a much more interesting question that I'll have to think more about
@@TheGuyCalledX That doesn't work. They can just take the four Kings (or Queens if your 5th card is a King) and block your Royal Flush. You can still get a straight flush, but then they can get a higher straight flush. If instead you block them from getting a straight flush, then they just keep their four Kings and beat whatever hand you chose. And of course if you keep your four Aces they will get a straight flush.
The obvious solution: pick all of the 10s, the fifth card doesn't matter. No matter what your opponent picks, you can get a 10-high straight flush or better, and the best your opponent can do is a 9-high straight flush. The second solution: pick three of the 10s, and two cards from the fourth suit; one of the two cards must be higher than a 10 and the other lower than a 10, with at most 4 ranks between them. Again, no matter what your opponent picks, you can get a 10-high straight flush or better, and the best your opponent can do is a 9-high straight flush. There are 48 winning selections from the first solution (1 way to pick four 10s * 48 ways to pick any card that's not a 10) and 40 winning selections from the second solution (4 ways to pick three 10s * 10 ways to pick the final two cards [A+9, K+9, K+8, Q+9, Q+8, Q+7, J+9, J+8, J+7, J+6]), so 88 winning selections total.
Every casino I ever played at had a 6 figure betten bonus if you lose with anything bigger than AAAQQ so unless your playing high stakes this video is pointless
The tricky part is that in 5 card draw, your opponent doesn’t just draw 5 cards randomly and that's it. They might replace some of their cards based on some rules of thumb, which will make the probability a bit nightmarish.
Not to mention they'd have to know you had a monster hand and go for unlikely draws. If they were just playing the odds in a heads-up game, they'd often want to hold onto lesser but already made hands.
Triple draw is really the only variant that people will still play these days
@@TheGuyCalledX I've never once played triple draw, but still occasionally play 5-card draw games so that's not entirely true. Maybe in certain circles or in many regions, but I know quite a few casual plays that enjoy variants of standard 5-card with a single draw.
@@aethere4l I really enjoy standard 5 crad draw and I think it's absolutely insane that there's no tournaments at the WSOP.
@@aethere4l well, high hand draw basically isn't played at all professionally. I'm talking about stuff like 2-7 triple draw.
I’ll have to say that there’s another way to get a full house that your opponent can’t beat with another full house, I’m jut referring to the full house not the other hands
If you do KKKAA, it’ll also be impossible to get a stronger full house
This unfortunately only applies to games without community cards. In Holdem/Omaha for example you could still loose to AAAKK, unless you have 2 aces in your hand and the community cards are 3 kings
For this video though, he did set the rule at 1:26 that players don't share hands, so you are right
I've been telling people this for forty years
Yeah! But kings over aces allows 27 straight flushes (and a royal flush if you leave a gap suit); which means it's equally as good as aces over kings for this situation! But still loses out to aces over nines/eights/sevens/sixes at 24 straight flushes (and also to aces over tens or aces over fives which allow 25, or 26 if you have a gap suit. (Well technically aces over tens with a gap is 25 straight flushes and a royal.)
True. This will also increase the likelihood that opponent will have an A and put more money in the pot.
The concept that's really being covered here are what we refer to as "blockers" or "removal" cards in a hand. These help to narrow an opponent's range of hands he'd be willing to play based on what's on the board and possible hand combinations.
Should be noted that "BEST" in poker is not always about what hand wins the most often, but which hand can be leveraged to win the most when it does win. For instance, KKKK may actually be better than AAAA because it makes it more likely that someone has AA or AAA and calls massive raises or makes raises themselves.
Similarly, a lot of money can be had when you hit a small straight flush against someone else's ace-high flush.
When I clicked on the video I assumed it would be going in that direction. While the math/odds part is interesting, it's definitely not realistic in regards to trying to "win" or "extract the most value while winning" which is extremely important in Poker, especially tournaments. AAAKK has a lot of blockers that prevent your opponent from getting decent enough "lesser" hands to give them the confidence to stick around all the way to showdown. In fact if they get a good enough hand they may do most of the raising for you. In those cases a lesser full house may be beneficial.
11:30 this is wrong. In Texas Hold‘em automatically the best 5 Card hand for the player out of the 7 cards (5 community cards + your 2 hand cards) counts. For example if there is a royal flush on the table, every player has the same hand. In this case it‘s a split pot because the 2 Hand cards of the players dosent matter
Which is also why calculating a “best full house” in Texas Hold Em is way less “mathy” than the 5 card draw example in the video. It’s all dependent and what the community cards are and where the 3 aces are. (And the answer is basically always Aces full of Kings)
1) If there’s 3 Aces on the table you want KKs 100% of the time. Any straight flush “blockers” are marginal compared to losing to higher full houses.
2)If you’ve got pocket Aces on a paired board with an ace (let’s say AXX rainbow is the flop) then it still barely matters what the board pair is. In actuality you’d still want the board pair to be kings because it means there’s only 7 board runouts that beat you by the river: with 4 of a kind kings, runner-runner 4 of a kind and three royal flush runouts and a K high straight flush runout (with villain having 10,9 suited in hand, QJ runout). (Also we want the flop to stay rainbow because despite it introducing an extra suit for royal flushes, having any suited AKs on the flop means a QJs runout allows any 10x of that suit to win a 4 card RF).
3) if there are 2 aces on the board it actually gets tricky again (I think it’s still AK but I’m less sure). You obviously want Ax where your paired hole card is just highest pair on the board for at least chopping the last identical combo of Ax.
But for similar reasons to pocket Aces, AKo is ideal. You want your hand to be offsuit where your ace matches the board K’s suit blocking a RF and your king matching either A to block another RF. The board runout can then only lose to a runner-runner 4 of a kind, 1 straight flush combo suited to the second board ace and one straight flush suited to the board king.
Interesting! For what it's worth, this can be logically proven quite fast without including distributions:
1. AAA** or KKKAA is forced to prevent a beatable Full House.
2. Quads is not affected as we block two values fixed.
3. This leaves RF and SF which are conceptually the same, meaning that the pair should block as many straight flushes as possible.
4. It should be a pair that blocks as many SF that don't include A as they are already part of the hand, eliminating KKKAA in the process.
5. This leaves any trips A with any pair from 6 through 9.
Great explanation!
That's basically is what was in the video, no new information...
@@regulus2033I’d say the video bloviated in its discussion of this same solution. I went through this exact same thought process, but the way it was explained in the video sort of obfuscated this main point.
However, in Texas Hold 'Em, it's important that two of the Aces are your hole cards. Otherwise, your opponent having the remaining Ace means that the hand comes down to the pair. If you have A-9 while your opponent has A-K, and the board reads A-A-K-9-X, you lose.
@@regulus2033 never said the info is new, just providing the purely logical solution rather than mathematical!
For Texas Holdem it becomes a lot more complicated, as plain odds and probabilities are not enough. In 5 card draw, if your opponent hits a weaker FH, a flush or even a straight, your chances of getting paid are huge. But if the community cards in Texas Holdem reveal 3 cards of the same rank or 2 pairs, the chances of getting called by a flush or straight decrease dramatically. Also, if you get Aces and don't underrepresent them a little pre-flop, when the board comes A99, the opponent is highly likely to fold. And lastly, a weaker full house means your opponent can have a lot of AA and Axs (that can make flushes) to call you with.
That being said, I'd prefer something like 9s full of 6s, with pocket 9s in my hand and the board looking something like T9664, with a potential flush (but not straight flush) there. Yes, I lose to pocket 6s and pocket Ts, but the amount of weaker hands that might pay me is just too juicy.
This is the most well researched and well produced poker video that I hsve ever seen that is also UTTERLY and funnily pointless 😂😂😅
I’m not sure how to feel about this comment.. but it made me laugh. So thank you I guess haha
@@YATAQiBecause the question is far more interesting than "which full house loses to the least hands." If you had tried to answer the question "which full house makes the most money on average," it would be a far more interesting and useful question to answer for poker players
7:51 I've been knocked out playing hold em in a live event as the bubble guy after calling an all in on the flop while I had AA in hand and flopped AKK, other guy had KK😑
That happened to me too, except with queens instead of kings.
Tbh no one should see flop in this instance unless u was somehow lik 2 hundo deep. It should preflop allin.
Dude, this is an insanely well put together video. You’re going places. Super talented and visually pleasing. Great video!
❤Its always nice seeing videos animated with manim
you would have more likes if there were more math nerds here instead of texas holdem heebs.
A full house with three Kings and two Aces (preferably containing an ace of a different suit from your kings) cannot be beat by any full house. By having three kings rather than three aces you reduce the number of straight flushes.
Yes but the 6-9 blocks more straight flushes than your king does
@@baileydwyer453it also blocks more straights. When we have a boat, we should not be thinking about the hands we lose to, but rather second-best hands that we beat. If you get coolered you get coolered.
Is this your answer for 5 card draw or Texas hold em?
@@TheGuyCalledX Very well put.
@@picklenik9658it would have to be for 5 card draw because this 3K2A in texas hold would not be the best FH if the flop is exactly 2A and 1K.
Blockers are hard.
Anyways The best boat in Texas Hold-em is tens full of deuces. RIP Doyle ❤
Just want to say these are some **fantastic** animations for showing/explaining the math
My concern would be maximising my odds of getting money out of my opponents potential hand rather than minimising my chance of being beaten. So I wouldn’t want any aces in my full house
this channel is a hidden gem, instant sub!
This is an excellent analysis, but it's missing a crucial part of poker -- betting and calling. If I have three aces in my full house, and make a big bet, the likelihood of my opponent calling with, say, one pair, is small. If I have KKKAA instead, then there's a slightly higher chance my opponent calls my big bet with a pair, since he now has a pair of aces in his range. The same argument applies to hands with two pairs, with aces up more likely to call than any other two pairs. With ace high flushes and straights, you're now much more likely to get raised by those hands, and slightly less likely to get raised by smaller straights and smaller flushes. All things equal, I'll take my chances with KKKAA, because the added probability of getting bets called, plus the added probability of getting raised by an inferior hand, outweigh the added probability of more stronger hands beating mine. I'll win slightly less often, but I'll win bigger pots more often.
I hope that makes sense.
Third best hand. A royal flush is a specific straight flush and is not its own category of hand.
You know, I do actually agree with you haha. It's like having a category in between high card and pair that's called "high ace". Royal flushes are just subsets of straight flushes. But according to official ruling, a royal flush counts as its own category so I'm just following that :)
@@YATAQi i feel there may be some variants of poker using wilds where a royal flush made without wilds beats 5 of a kind but 5 of a kind still beats any other straight flush, but i'm not entirely certain.
@@wfchannel4673
That’s an intriguing thought 😲🤯
@@wfchannel4673
One more thing: Is the probability of 5 of a kind lower or higher than Royal Flush. I guess it depends on how many wild cards are included…
If it’s only one wild card then 5 of a kind should be the most rare.
@@YATAQi
What was mentioned above would be an amazing topic for a video 🤯
In terms of probability to win, that choice is definitely the best, but if I could choose a hand to have, I would still prefer AAA22 because it maximises the probability that the oppoenent will have something that I beat, but isn't valueless. With the given choice of AAA66/77/88/99, it eliminates a *lot* of straight possibilities that many people would bet with.
Exactly, by blocking straight flushes, we are also blocking straights and flushes that might call, especially the broadway straight or an A-high flush...
A hand like KKK22 would be much more preferred compared to AAA 66-99
Wow you make really nice videos, keep making more 🙏🏻
Nice vid. The best full house would not be the one with lower chance of a higher point: if you got a full house and the other does not have anything, its value is a small blind. The best full house is the one granting the opponent the highest chance of a point _just below_ your. What is the full house granting you the highest chance of a Flush _that is not a Straight Flush?_
This could also be a small variation to the present exercise: you have assessed that the best FH is AAAXX, with X being any number between 6 and 9, any rank. You could work on this degree of freedom now, to assess the best ranks to have the opponent get a non-straight flush. Is it better to have both the X of the same rank of the As, or the missing one?
I really like your graphics presentation.
I think AAA99 is still the best full house in holdem? But it definitely needs to be pocket aces with 2 ace, and 2 9s on the board. No connectivity between the ace and 9s for straight flushes, don't lose to any full houses, and no 3 of a kind on the board to make quads more likely.
Another interesting one is what is the best full house in 7 card stud. You get 2 more blockers, they get 2 more cards. Trying to figure out if you are in a better or worse spot. Surely worse.....right?
AAA with a pair of 66, 77, 88, of 99 so that you can block more straight flushes that might allow your opponent to cooler you as its impossible for the opponent to have AAA since we already block three Aces
You may argue that having 3 aces is not as good as having 9's over 2's because with the aces still out there it increases your opponents odds of having a good 2 pair or set which would increase the likelihood of you making more money on the hand.
If you have 10's over 2's and your opponent has a set of aces you are likely to win a big pot but if you have aces over 6's and your opponent has a set of 2's they are not as likely to put a bunch of there chips in.
Superb work! Keep it going!!!!!
My intuition told me AAA99, happy it was partly correct. I was thinking more from a texas hold 'em perspective with shared community cards and reducing chances of getting coolered by a straight flush. So when I realized it wasn't involving community cards I started second guessing my intuition. Regarding the question you posed at the end, looking forward to that video to see if it still holds true, but I just think it might :)
So it depends on what the definition of "best" is, under the circumstances and game structure?
very well produced video
In Texas Hold'em, you'd also have to consider what cards would likely be part of your opponent's range on each street, and how likely they'd be to check, call, raise or fold. And how each possibility would affect your chance of getting maximum value. Or any value at all.
And in a lot of games it might help to pay attention to how much they are drinking.
i’d like to argue that the full house is the 3rd best hand in the game and that a straight flush is the 1st because a royal flush is really just a straight flush
The answer to your new question 'What full house would you choose in hold em?' is that it depends on which cards are on the board. 3 aces on the board is a different scenario than A99 on board.
Not to mention chances of actually getting called depending on the community cards. A weaker but better disguised FH unblocks more weaker hands your opponent might be enticed to call with (high overpairs, suited aces that make a flush, maybe some straights). You might still have the best hand if the board shows AAA or AA99, but you'll never get money from any flush or straight in this scenario.
It is quite insignificant. No player on the planet is going to fold aces-full of anything when playing 5-card draw. If that hand loses, well then it just loses.
You are approaching this video like a poker video, but it’s a math video
@@OneDerscoreOnedera bad math video lol. My guess is your chance of winning money with a hand like 44433 is far greater than your chance of winning with AAA66. In 5 card draw, Aces are the #1 cards you want to unblock if you have a nutted hand, because they are part of so many strong value hands.
yes do more poker related puzzles please
No one plays 5-card draw anymore outside of Grandma's kitchen table for matchsticks or pennies. And the world's biggest tournament--the World Series of Poker Main Event--hasn't been winner-take-all since the late 1970s. It has also always been Texas Hold'em. 5-card draw was last offered as a side event at the WSOP in 1982, and no brick-and-mortar casino offers it anymore either, at least that I'm aware of. So this is an interesting thought experiment, but it's absolutely worthless for someone who's serious about getting good at poker and playing for real money.
5-card draw is still played at the WSOP as part of the Dealer's Choice tournament.
@@kplewisvox I didn't know that! Thanks for the info. That said, Dealer's Choice is one tournament, and 5-card draw is one game out of 20 played in that tournament. My overall point--that if you want to be really good at poker and win real money, then this video isn't much help--remains valid.
@@LewTittertonFair enough. I guess if you wanna be able to easily find a game, then 5-card draw isn't the best option.
To be fair, I don’t think that the video is meant to be used by someone hoping to win at a modern poker tournament playing, say, Texas Hold’em: the whole premise is that you have magic powers that predict full houses…
High quality content as always! Keep it up!
I feel like there should’ve been an analysis of tens over fives done as well, just to ensure the benefit of removing the most possible straight flushes isn’t greater than the loss of allowing some stronger full houses.
Excellent explanation!
Great video, I also love the song. What song is this?
imo, a bit more should be said about "3 aces not going anywhere"
KKKAA would also not have any stronger fullhouses
(tho it covers same number of flushes as AAAKK, thus losing to AAA66 obv)
and the rest of KKK__ needs an explicit computation that greatly diminished number of stronger AAA__ full houses is still too large compared to covering some flushes with K rather than A
That's a great point! KKKAA would kind of serve the same purpose as AAA__ as far as being an unbeatable full house. But AAA__ offers the flexibility of being able to adjust the pair to your liking. And yes KKK__ would also be a solid full house no matter what the pair ends up being, but like you said, there are too many AAA__ full houses that can beat it and so it does not end up being a good idea. But definitely a thought worth considering. Thank you :)
@@YATAQithis is wrong. In 5 card draw, the #1 card we want to unblock if we have boats or quads is the Ace. So many strong hands that can call have an Ace in them, so we don't want them in our own hand-- as we'd be blocking a ton of combos of 2nd best hands.
Likewise with the idea of blocking straight flushes. Straight flushes are so uncommon that to build a strategy around them is completely not worth it. I'm far less concerned with blocking straight flushes that I lose to than unblocking straights, flushes, trips, two pair that I beat.
Lowk two’s full of three’s might be the best full house in holdem bc you unblock all the combos of Aces’s and high cards that they will likely call your larger bets with. If you have Ace’s full of Kings, you’re almost never getting paid off because you hold all the cards that are likely to be the winner at showdown
To maximize value, full house combos that maximize the chances of opponent having strong but beaten hands (like strong sets or straights or flushes) would be ideal. You bring back up the chances that they'll hit a straight flush, but increasing the chances that they have a straight OR a flush means they put more money in the pot.
underrated! THIS IS GREAT❤
I'd argue for the pair to be 6s because it increases the chances that your opponent will have something worth calling you
Come on, how many time does your high value full house get beat by a strait flush.
You must have spent too much time watching "THE CINCINNATI KID"
well, the percentages are in the video so you got the answer to you question there. it's about 33 times out of every 1000 full houses
best full house for texas holdem would have to be 2 Aces in your hand, with a 6-9 in your hand, community cards: A, 6-9 pair, and then 2 more 6-9 of different suits such that they don't overlap.
Texas Holdem seems more trivial, as the board can basically make it impossible for you to be beaten by anything. For example (AA) AKK82 only loses to one hand (KK), while (AK) AAK82 never loses, but draws to two combinations of (AK).
In Texas Hold’em it would be pocket aces with any pair, because you have pocket aces they lose access to 2 of them meaning they can only get a pair of aces
I'd like to see the math on 10s full of 5s. There are some higher full houses but you block 5/8 of all possible straight flushes since a straight requires a 10 or a 5.
In Texas Hold ‘em all 5 cards can be shared between the players best hands if the best hand is on the table
I hate how a flush beats 3 of a kind. In Texas Holdem, it's EASIER to get a flush than a set. When I played with three of my friends, we kept winning with a flush, while it was rare to get a set.
So my guess is that you're looking to eliminate good lines for your opponent to play. There's nothing you can do about them drawing 4 of a kind, but you can try to eliminate straights (you only need to stop straight flushes, but same deal). 3 aces and 2 kings would technically be the strongest vs. another full house (in a magical situation where they can also get 3 aces), but there's still a lot of straights that you aren't removing any card from (anything from Q thru 8 to 6 thru 2). So do you want something like three 10s and two 5s? That means any straight requires one of the remaining 5s or the 10, right?
That does open you up to a better full house, so maybe you 'only' downgrade to like Aces and 9s or something, to have the best full house while still blocking most straights. The question is blocking more straights lowers the probability of them beating you more than preventing a better full house does, and I don't have time to do the math on that.
Great idea for a video! You could do similar analyses in backgammon
I'd much rather have KKKAA than AAA66 in 5 card draw.
You can still never get beat by another full house, but you can get called by more Ax or AA hands because you unblock an A.
as much as i agree with you I still find the idea of eliminate the royal flush all together more secure, so three aces any suit and two tens one of which being a suit not shared by any of your aces, yes you have a double up on one royal flush however is that one hand really going to mean much when a full house will typically carry any day?
I think the Texas Hold ‘Em example is much more boring, with AAAKK being the best full house in basically any scenario. (This is not a comment about value or actually getting called, it’s a hypothetical pre-flop all-in where you get to pick a full house).
And it’s largely for the inverse reasoning of 5 card draw wanting your pair to block as many SF and RF as possible. Well in Texas the community cards means valus like 7s, 8s and 9s open up the most hands, so a pair of kings limits to just RF and king high SF.
Here are the three scenarios for how your Texas Hold ‘em FH could work, depending on 1, 2 or 3 of the aces being tabled.
1) If there’s 3 Aces on the table you want KKs 100% of the time. Any straight flush “blockers” are marginal compared to losing to higher full houses.
2)If you’ve got pocket Aces on a paired board with an ace (let’s say AXX rainbow is the flop) then it still barely matters what the board pair is, but you’d still want the board pair to be kings because it again it limits the SF and RF potential. There’s only 7 board runouts that beat you by the river: with 4 of a kind kings, runner-runner 4 of a kind, three royal flush runouts and a K high straight flush runout (with villain having 10,9 suited to board king in hand, QJ runout). (Also we want the flop to stay rainbow because despite it introducing an extra suit for royal flushes, having any suited AK on the flop means a QJs runout allows any 10x of that suit to win with a RF).
3) if there are 2 aces on the board it gets a little tricky again (I think it’s still AK but I’m less sure). You obviously want Ax where your paired hole card is just highest pair on the board for at least chopping the last identical combo of Ax.
But for similar reasons to pocket Aces, AKo is ideal. You want your hand to be offsuit where your ace matches the board K’s suit blocking a RF and your king matching either A to block another RF. The board runout can then only lose to a runner-runner 4 of a kind, 4 of a kind kings (opp pocket kings), 1 Royal flush combo suited to the remaining board ace and one straight flush suited to the board king.
In Texas Hold Em, the best Full House would be two Aces, with an Ace and a pair in the river.
Nice video. I think that you should've done the calculation on the full house of kings to show that it's worse than aces, and blocking more straight flushes doesn't make up for allowing full houses of aces to beat you.
I'd rather have a full house without Aces in Texas Hold 'Em because at a full table it is somewhat likely that the other ace was dealt and that it will be in play after the flop.
Great video, glad i stumpeld on this channal, 1 note tho. At 11:30 you say "keep in mind that texas holdm allows you to share up to 3 cards to be shared between players best hands" this is actually incorrect. It actually requires you to minimally share 3 cards with your oppenent. Since there are 5 community cards and 2 personal whole cards and you can use any combination of those cards to make the strongest 5 card hand
@@jeffreyweevers3919 The key word here is “best”. Because you’re right, both players do share the same 5 community cards which they have to use 3 cards from, both those 3 cards don’t necessarily have to be the same ones.
Consider this example: Player 1’s hand is A,2 and player 2’s hand is 8,9 while the community cards are 3,4,5,6,7.
Player 1’s BEST hand is the straight A,2,3,4,5 while player 2nd BEST hand is the straight 5,6,7,8,9. So their respective best hands only share 1 card in common here. I guess a more accurate statement would have been “1-3 cards” instead of “up to 3” because 1 is the minimum. Good observation :)
@YATAQi sorry, english is not my mother tongue so i probably didnt explain it very well. The point i was trying to make was that you could share 4 or even 5 cards of your best five card hand with your opponment via the community cards as you are not required to use any of the whole cards in your hand. If the board where to run out to a royal flush, it would be an auto split pot since both 2 cant makr 5 hand better with their whole cards
@@jeffreyweevers3919 Oh I see what you mean - you're totally right! Both players' best hands can technically share 5 cards in common (if the community cards make up the best hand). Not sure how I missed that, thank you haha!
@@YATAQiyes that’s correct. For anyone still confused, with rules of holdem, Players A Hand of A2 on a board of 34567- the best hand here is 34567. The players own cards don’t play, only the board. This is important since this means another player with 67 will have the same hand as player 1 with A2.
This changes the probability slightly.
1:30 AAA99? Because it's A high and knocks out as many straight flushes as possible?
Yep time to pat myself on the back.
Wouldn't all AAA-66/77/88/99 all have the same value, they all counter the same amount of straight flushes and they counter every full houses as well? So they would all be the best at winning the hand against other possible hands.
Yes
There is one big area you missed since we are magically controling what cards we get we could arrange it to where are first 5 cards are junk we dicard allowing us to magically control what those 5 cards are allowing us to add 5 more blockers to the equation allowing us to block 5 more of the possible 4 of a kinds that can best us along with more straight flushes reducing the number of 4 of a kinds are opponet can get down to as low as 6 and eliminate so lets say we discard a 10, 9, 7, 6, and 5 of varios suits before drawing are three aces and two eights giving us Aces and 8s now the only 4 of a kinds that can beat us is 2s,3s,4s,Js,Qs,and kings we manage to eliminate all royal flushes and steel wheels using the correct suit combantions and thus ripping through a lot of the possible straight flush possibilities as well if the 5 and 10 are of the suit of the ace we dont have and the other 3 cards are of the other three suits
Ngl, this video really misses the mark overall. You considered which hands we lose to that we block, but you're not considering which hands that we win against that we unblock.
You're generally going to make a lot more money with strong hands that unblock Ax than you will with stronger hands that block Ax.
If you have Aces full and the opponent has a str flush then u are done for. The best you can hope for is that they check all the way.
If we only care about winning the hand, you first need an unbeatable full house.
3 aces are enough to ensure whatever full house your opponent can get is beaten by yours.
That's the easy part done.
Now we need to minimize the chances of our opponent getting a hand that's stronger than a full house.
Unfortunately, there are too many cards to ensure a win, as the same number of four of a kinds are always possible no matter what, but the next best thing is a pair of tens, which reduces the number of possible flushes
Now do the suits matter? Yes, actually. One of the tens needs to be the suit that isn't among your 3 aces, else you leave that flush on the table.
agh so close
Definitely need more videos on texas holdem
The title is "whats the best full house in poker" Not what can beat the best full house in Poker.
The best full house in texas holdem where the flop has all 3 Aces and say a king and a queen would be to have a king and an ace in your hand, you are guaranteed to win with that hand
That's quads fam
texas holdem gets a lottt more complicated for this calculation
Holy shit ur massively underrated
After putting some thought into this the description you give would be if you were playing 5 card stud where you get 5 cards and only 5 cards. I think I found a combanition of 5 cards discarded your first 5 cards and your 5 cards drawn ie the full house in this instance Aces full of 8s that will only leave a total of 12 hands that can beat you 7 four of a kind and 5 straight flushes will say for your hand A and 8 of spades and clubs and A of hearts this right here will decrease the number of straight flushes that can beat you in spades and clubs down to 3 each 2,3,4,5,6 3,4,5,6,7 and K,Q,J,10,9 now at this point diamonds is unprotected but with the cards we discard 5 and 10 of diamonds removes any possible Straight Flushes/Royal Flush in Diamond then with the 8 of hearts being discarded from the first hand that narrows the possible Straight flushes left down to 9 total and our 4 of a kind is down to 9 possible hands then with the last 2 discards being the 4 of clubs and 6 of spades that removes the possible 4 of a kind in 4s,5s,6s,8s,10s and Aces so we are done to only 7 four of a kinds and with thise 2 cards we have elimated the 2 samller straight flush possibilities in both spades and clubs to all that is left is a 2,3,4,5,6 and 3,4,5,6,7 of hearts and 9,10,J,Q,K of spades clubs and hearts so thats 5 straight flushes and 7 4 of a kinds that can beat your hand I think getting it down to 12 hands is pretty good be cool to see if someone can get it lower with 10 cards and making a full house
Great video
In texas holdem I dont think the question really makes sense.
The community cards could make straight flushes impossible or 4 of a kind impossible.
Wouldn't 10s full of 5s be better as it blocks all but 3 straight flushes and would only lose to As Ks Qs or Js Full?
is this an at all interesting question for other hands? or is there not enough you can control
Halfway through the video and I’m guessing it’s 3 kings and two aces. All different suits and the aces need to have one suit that the kings don’t have and one suit that matches a king
I agree…no other full house can beat it (in five card poker)
I want to see a part 2! But not necessarily more than another good idea you might have!
I might make a Texas Hold'em version in the future as it is a more interesting question (as far as detailed math is concerned). Thanks!
@@YATAQi Daft not to have included it in this video in the first place. Fancy not featuring the most popular form of Poker!
Nice video but taking into account the risk of someone having quads would add another dimension.
There's no way to block quads or influence it in any way (with a full house)
I only watched 2 minutes. I think I know where it's going and if right I'm proud to say I've been saying this for 40 years. Kings over aces because you need two aces preventing other players from having three aces
Technically a royal flush does not really exist. It is just a straight flush. Otherwise there would be a royal straight as well. This makes a full house the third best hand.osinh only to 4 of a kind and a straight flush.
Very nice
For Holdem no, aces full of kings
Drink a shot everytime he says full house ○•○
The best full house is Aces full of Aces!
Wow I guessed it immediately
Related puzzle:
The 52 cards of a standard deck are revealed face up.
You then play a variant of 5-card draw with 1 opponent that works as follows:
1) You choose any 5 cards you wish
2) Opponent chooses 5 cards of the 47 that remain
3) After seeing your opponent's pick, you may discard between 0 and 5 of your cards and draw replacements as you wish from the remaining 42 cards
4) Opponent has the same option, but may not use your discards
5) After all this the higher poker hand wins. However, since you clearly have an advantage going first, your opponent wins in case of a tie.
Question: What hand should you pick in step 1 to guarantee a win?
Bonus: How many winning selections are there?
I like this question.
My initial thought is we take the 4 aces. I don't think the 5th card matters. When they make a straight flush, you discard 3 aces and make a royal. If instead they take cards to block your royal, with their first draw, it's a much more interesting question that I'll have to think more about
@@TheGuyCalledX That doesn't work. They can just take the four Kings (or Queens if your 5th card is a King) and block your Royal Flush. You can still get a straight flush, but then they can get a higher straight flush. If instead you block them from getting a straight flush, then they just keep their four Kings and beat whatever hand you chose. And of course if you keep your four Aces they will get a straight flush.
The obvious solution: pick all of the 10s, the fifth card doesn't matter. No matter what your opponent picks, you can get a 10-high straight flush or better, and the best your opponent can do is a 9-high straight flush.
The second solution: pick three of the 10s, and two cards from the fourth suit; one of the two cards must be higher than a 10 and the other lower than a 10, with at most 4 ranks between them. Again, no matter what your opponent picks, you can get a 10-high straight flush or better, and the best your opponent can do is a 9-high straight flush.
There are 48 winning selections from the first solution (1 way to pick four 10s * 48 ways to pick any card that's not a 10) and 40 winning selections from the second solution (4 ways to pick three 10s * 10 ways to pick the final two cards [A+9, K+9, K+8, Q+9, Q+8, Q+7, J+9, J+8, J+7, J+6]), so 88 winning selections total.
@@chartung17 Correct! Very thorough analysis
@@chartung17 I acknowledged I needed to think more about it lol... Thanks for replying and spoiling the answer
What ruleset are you basing this off? Everywhere I’ve ever played and anywhere i looked online it says that the pair does matter for hand ranking?
Once you have three aces, no other player can, so your full house is already better than any other full house they might have.
At 8:45, i dont understand why you were crossing out the 4 and queen…?
how about 3 kings and 2 aces? they wont be able to have a stronger full house
Please do a Texas hold em video
I was thinking about KKKAA. This way opponent cannot have better full because of AA removals
What's the BEST Full House in Poker? - Well AAAAA Off course! Come back to me for more Poker advise. 😏😏😏😏
Yes please do the math for hold ‘em 👍
Great video!
Disappointed you did not cover KKKAA, which is also an unbeatable full house.
But otherwise good video.
My guess was 10s full of 5s triple suited blocks the most straight flushes
That was mine as well
3 kings and 2 aces? Maybe that
Every casino I ever played at had a 6 figure betten bonus if you lose with anything bigger than AAAQQ so unless your playing high stakes this video is pointless
Why do you keep saying "Land on"