The Mathematics of Roulette I Understanding Casino Games
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- Опубликовано: 12 авг 2013
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For thousands of years, games and puzzles have been an enjoyable and rewarding aspect of human civilization. They tease our brains. They challenge our memories. They strengthen our competitive skills. And whether it's chess, poker, or Sudoku, most games have this in common: Everything you need to win is rooted in mathematics.
This video is episode two from the series "The Mathematics of Games and Puzzles: From Cards to Sudoku", Presented by Arthur Benjamin
Learn more about the math of casinoo games at www.wondrium.com/RUclips
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#casinogames #winatroulette #mathofroulette
He is from a Ted talk faster than a calculator I think right?
Yes! This is Professor Arthur Benjamin. You can find out more about him on our website here: www.thegreatcoursesplus.com/professors/arthur-t-benjamin?US_OnlineVideo&SocialMediaEditorialRUclips&
Andrew Poderis
You literally have the search bar above the video to find the answer instead of asking here and waiting for the comments but I guess the answer is yes, you are welcome
@@inglestopia lol, some people like/seek conversation.. but your comment made me snicker
I just started playing roulette, but my general strategy has been martingale, not because it works (statistically you will still walk away with a loss eventually), but because I like how it simply speeds up wins/losses. Then, I'll withdraw profits when I win and start the stakes over with low stakes using my default bankroll. If I run into losses, I stop doubling up, eat the loss, and restart with low stakes. To me, this will mean some weeks where I have extra pocket change until I lose my default bankroll. Then, I simply wait until I have spare money to play with at a later time. This way, I'm gambling for fun and not under the fallacy that I'll walk away with winnings. Enjoy lucky weeks, expect losses.
EXACTLY!
6 years late but how much are u betting with, this strat is doable as long a u have enough bankroll to support it
@@DeloreanDude. Oh dear god, pay no mind to 23 year old me. I had no idea what I was talking about. I definitely had more losses. This was amusing to read though.
@@extradterrestrial learned it the hard way, im now interested blackjack considering the low edge it has
It works great until the dealer starts playing against you
Math has always been my weakest subject but watching this makes total sense. Which is why its so damn hard to win at this game based on the odds being calculated.
It's not just hard to win; it's literally impossible over the long run because the math will always work out. Do not play roulette.
@@Max-jm6md play craps. Thats my game.
@@ryanfresh8521 have you seen this? ruclips.net/video/eHgbkeaRkEQ/видео.html
In the long run you lose 1/19th of whatever amount you put on the table playing American roulette.With European roulette you lose 1/37th.
Best way to double your money, is to fold your money in half and put it back in your pocket.
Best way to double your money*
LOL!
If u think about ur money double spend all money then relaxxxxx😀😀😀
Or just invest in crypto instead of gamble it away
😆
I wish you were my Algebra teacher in 1971. This video actually got me interested in numbers.
yea young girls phone numbers
there's a difference between algebra and extremely basic statistics
This….is basic stats not algebra
I wish you could be my electronics instructor. I could listen to/learn from you all day!
This is such a great video, not just for roulette, but because it illustrates the entire principal of casino games in general - you simply cannot win. Maybe you as an individual can get lucky and win around or a session every once in awhile, but the public in general can never win over the casino because the games are specifically designed that way. There was no need for the casino to cheat, the odds are simply in their favor over a long enough period of games, because they simply do not pay at fair odds.
Actually, you gave me some snotty reply 2 months ago that I didn't know what I was talking about and didn't know simple math. I've only been interested in Roulette for about 4 months but since your "you don't know what you're doing" email I'm up $11,850. I've been going twice a week for two months, only setting small goals each time. Lost about 20% of the time, won 80% of the time. As I practice at home on a site that has Roulette for free I get the same ratio over a greater sampling. Luck's involved but it's not just luck. I just posted my technique, you might want to go to some site like 247roulette.org which is free and try it. I'd be curious if you lost a lot or won often. Because I think it's also part attitude. So far my attitude's bought me a new clothes dryer, a 21 sqft freezer and a 500MHz 4 channel oscilloscope for free. Oh, and a pull down sprayer faucet just today. Stay positive! Mr. Fingerpokenuntmittengrabben
They gotta run the joint
Unless you are very good at counting cards which is easy enough but you need to play at the right casino and expected to be asked to leave. Casinos do not like consistent winners at a table you will be politely removed.
@@SK-me9by even then you only turn the win loss in favor by a few sense on the dollar. Still got to spend lots to win lots, and hope no idiot does not play the basic system.
@@bradclifton5248 Counting cards gives you a edge but, you still don't eliminate all the risk hence it's still gambling. Basic strategy is helpful but you need to be aware of what is happening in the moment and may better serve you to not play with in those.
That made quite complicated maths really easy to understand!
I found you magically Arthur! ... and just purchased your course
I love your passion and out of the box style
Hope to meet you one day!
Why no one else done what I have done. Show there system in a true casino. Look up hidden camera inside uk casino.
if you want to really win money open your own casino.
Or, you can sell materials claiming to improve people's odds winning at roulette.
perhaps anecdotal? Google casino bankruptcies ...
Chinese mad for casino，born as gambler
IF YOU WANT TO WIN CONSTANTLY TO LIVE ROULETTE ,NOT MECHANIC OR ELECTRONIC ROULETTE ,
WE CAN TALK ABOUT THIS. I CAN TEACH YOU SOME SIMPLE THINGS. I DON T WANT YOUR MONEY, I WANT CASINO S MONEY . I HAVE THREE SIMPLE requirements . 1 .
PATIENCE 2. DO NOT BE GREEDY 3 . LIKE IN POKER , A PROPERLY BANKROLL !!! IF YOU DON T HAVE THESE 3 REQUIREMENTS , PLEASE DON T SPEND MY TIME , PLAY FOR FAN OR GET A JOB.
Bogdan Management
can you contact me
Thank you for making that plain to me - that none of the bets in roulette is inherently better than another.
But if you track the force of the croupier by seeing where they spin from and what it lands on then you can make a pretty good guess next time and because they allow bets just after the spin you can make a calculated guess
Very fun and informative video. Thank you.
I could watch another 45mins of this
@Coloredspaces
Every bet has the same EV. That's why I love roulette. My favorite game in the casino
Daniel Johansen learn how to play craps. Pass and dont pass line bets have a 1.41% and 1.36% house edge (expected value for house)
Not the 5 number combo
There are several factors in how to win sports bets. One resource I discovered which successfully combines these is the *TheSportsCash. Com* definately the best system i've seen.Check out the interesting information .
Do u have any strategy?
Mathew Willenbrink exactly 5 corner bet with the double zeros , worst odds. But besides than all equal.
dude this guy is so boss he is my hero he is a mathematical genius and a great teacher!
My favorite casino game, thanks for the odds. I didn't think it was quite that bad.
Going to the casino is like giving donation.
its like giving donations to ppl who is richer thann us
and people with higher bankrolls to keep on gambling win more in the long run?
that was great explanation!
yes it is. his only flaw is not explaining what expectant value means.
great quality video
given in an interesting way
keep up the good work on your channel
Really helpful :)
Great Info, Indeed. However, you don't need to do all that Math if you just remember that "Zero-Double Zero" is the Vig (or the Rake) and all other bets are basically 50/50 odds. Casino cannot Lose (in the long run) and their take is about 2/38ths in pure profit. Roulette is fun, but don't plan on getting rich no matter what "system" you think will win...
Expected value works in the long run but not necessarily in the short run. Hence, there are good odds of winning money if you play for a small number of times.
So the laws of physics and math work over the long haul, but not the short haul? Sorry, but, with respect, it is just such thinking that makes the casinos money.
@@drferry No. In the short term you have a 47% chance of doubling your money. The more and more you play, you are ensuring with certainty that you lose money overall. You have a 47% chance of making money playing once, and that chance of winning overall approaches 0 the more times you play.
@@drferry But yes this is how casinos lure you in, you're right about that.
That was awesome.
So I bet both red and 12, would the expected value be 010 something?
The interesting point from a mathematician will be if can find out a way to solve the negative prospects which all of us we know very well and no to explain that if continue playing in roulette for sure you are going to bankrupt.
If you don't play you win for sure.
The odds are in your favour the more beers you have. Let me explain:
No Beers = Never Win.
1 Beer = Win Sometimes.
5 or more Beers = Win most of the Time.
+Shawn Steinman you have it the wrong way around. no beers = a chance of winning . some beers = a bit of a chance of winning. heaps of beers ( crazy bets ) = no chance of winning .
game
its not whether you really won or lost its about how much you remember losing.
That's right. Bueno amigo
I can agree to that hahaha
Bet on 11 and cover the greens and you’ll be good. Good luck!
Professor Benjamin, recently I'm playing a spinning wheel game online. Here's the situation: players bet on four given multiples of the betting amount---2 ,3, 7, 18, and the wheel consists of 37 bars for the pointer to land on, among the 37 bars, there are 18 2s, 12 3s, 5 7s, and 2 18s.
Apparently, betting on 18 yields the maximum return. However, based on my observation and experience, the frequency for 18 could appear 2 times in a row, and then reappear in 3 to 10 rounds of betting, but eventually I had to patiently wait for 28 to 120 rounds for 18 to pop up again, which is perplexing to put bets on. In one extreme case, the pattern went 18,7,7,18,7,18. On the basis of the laws of probability theory and stochastic processes, what is the safest bet for maximum return when betting on 18 and 7?
Just make sure to save the game before going all in! If you lose, load the saved game.
You need to play only european roulette with only one "0" for bit bigger chance
Even with the European Roulette the casino still has an edge over you, you have 49% of odds vs 51% chance for the casino, that means that over a big number of plays you'll almost certainly lose
Nice video, great explain! ;)
Thank you, Jonhy, we are glad you like it!
This is still better than lottery tickets. Next video on that.
Betting the same amount on 2 columns at once is always my strategy. The paybacks not great but the win percentage is in your favor. Middle and right columns seem to be the most frequent hits.
+Dent Harvey
So you are willingly giving money to the casino? You will never win, never.
You have aproximately 66% chance to double. 33% chance to lose your bets.
Example:
You bet 1 dollar on two columns. That will cost you 2 dollars.
IF you win, you will lose 1 dollar for the column that didn't win. From the winning column, you get 2 dollars. So for the bet of 2 dollars, you won 2 dollars. That is 1:1 win ratio.
IF you lose, you will lose 2 dollars, one from each column that didn't win. So for the bet of 2 dollars, you lost 2 dollars.
So every 2/3 of the time, you win nothing. Every 1/3 time, you lose 2 dollars.
That is the worst strategy I have ever seen.
+Laatikkomafia I like how you say I'll never win. I've done it, it worked and I happily left with more money than I came with. Twice!
+Dent Harvey The key word is "TWICE" ... that's no "system" bro. Pros look for 10's of thousands of spins to remotely consider a strategy viable. Good luck.
This is inaccurate - if you bet $1 on a column you will get $3 back.
Dent Harvey's
great info
Great video.
Correct t me if i'm wrong but I dont think this is how it works.
The odds that you will win mostly depend on how many numbers you bet.
Say that you bet $1 for number 1 to 35 which means you bet for $35
The odd that one numbers of yours will win is: 35/38 = more than 0.9 or more than 90%
You would win $35 and lose the other $34 or win $1 for the odd of 90%
And the odd of you lose the $35 bet is 3/38 or roughly 10%
.
.
But what i'm talking about here is the odd of winning, not the amount of how much you win.
While you can lose $35 , MOSTLY you will win $1
Andre Gunadi If you play less hands then this is true. If you win $1, 34/38 times you are expected to win $89.47(winning around 90%) if you play 100 times. Your expected to lose $34 (the bet size if every bet is $1), 4/38 times, then your expected loss after 100 games is 357.89(you lose around 10 times). The casino's would love having you around.
Kevin Leung wow thank goodness for your deduction
Andre Gunadi Thanks for the video content! Apologies for the intrusion, I am interested in your initial thoughts. Have you heard the talk about - Mahorrla Earning Gamble Method (Sure I saw it on Google)? It is an awesome one of a kind guide for making money with a proven roulette system without the headache. Ive heard some interesting things about it and my best friend Jordan got excellent success with it.
Andre Gunadi Kudos for the Video clip! Apologies for butting in, I would love your initial thoughts. Have you thought about - Mahorrla Earning Gamble Method (probably on Google)? It is a great one of a kind product for making money with a proven roulette system without the normal expense. Ive heard some unbelievable things about it and my cooworker got excellent results with it.
For those that care, the expected value for European Roulette (Which only has one green '0' space and no 00 space) works out to
-0.027027~
(18/37)+(-19/37)
Yup! I read about the half-back rule after I posted. However online casinos that use the European tables (single 0) don't seem to follow that rule.
You can win more in London casinos than you can in Vegas. Fact.
Your not smart and gay
OkrustyO Yes, I'm both.
However if the table is rigged these stats drop to 0%
I'm off to play now !! Live stream
There is one exception and that is house chips or promo chips. Promo chips are more valuable betting on a single number but a lot of time this is not allowed but when it is it is the most value for your promo chips.
I don¨t bother even going to the casino anymore, I just put my hard earned money in an envelope and just post it straight to them Saves so much time.
Set up a direct debit
I'm just gonna place my bet on my savings account at the bank. 💰
Not even 1% interest? Pfft let it ride!!!!!
I've only now come across your video. Very informative. I have a question if this EV can be applied to Craps. In the game of Craps, unlike Roulette, you also a "No decision" on several out comes. For example if the point is #4; you have 3 ways out of 36 to win and 6 ways out of 36 to lose (7-out). So the remaining other 27 combinations are a "No decision", because you didn't win nor did you lose. How would you get the EV in the game of Craps?
David Kalakaua. Just remove the " no decision" roll so you now have 3/36 =1/12 to win and vrs 6/36 = 1/6 to loose , so your twice as likely to loose as to win
By imagining every bet vs every possible outcome. Read 'Scarne on Dice'. It's an old book but the guy who wrote it knew everything there is to know about the game of Craps, and he throws in some amusing stories along the way. I only wish he was alive to see Patricia DeMauro hold the dice for 4 hours and 18 minutes in 2009 at the Borgata in AC.
I heard a saying that went something to the effect of "Those who have a system for playing roulette will lose their money systematically." I think it was in a movie. Or was it about Keno?
idk but that is true for every casino game
This dude has never played actual roulette more maths teacher
thanks, now I can win my Dragon Lore in CS:GO
but u cant
game
game
.😈😉😯😢💑
game
l
This may be a little crazy but when I play roulette I always play outside and bet 2 out of the 3 vertical lines....pays 2 to 1...
Some people walk up and will put $100 on red or black with an expected win of 18:38. I contend if that same person put $90 on red or black and $5 on each of the two green numbers they still have $100 on the table but have increased their odds of winning by 2 numbers. Also if they hit one of the green numbers that pays $175 - the $100 bet still clears $75. In the long run this probably would not pay off but for that one time thrill better I like to take insurance. Note if you try this and hit on the green i suggest you put $20 to $30 on split greens for the next spin. Could pay for your weekend trip.
The "0" and "00" made the difference.
I play European roulette.
I wish I could speak English so clearly.
simple compounding is a passive way of winning any type of bet. you can even take some of the profits along the way.... I like compounding dozens, for example! some people prefer the phrase 'let it ride' to the phrase 'let it compound', lol
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Thank you
So, what number should I bet?
that's what i came here for but no use 😜
The only strategy to win in roulette is luck on your side and betting big on a number or a color : That's it..... All other strategies are all money grab.
good explanation
I always won on roulette ,simply just put any bet on black or red colour and double the bett unless you win ,like first time one coin if loose put 2 coins then 4 coins on same colour and lastly you will win ,take out your spended money and start again from one coin
Basicly what this should tell all you gamblers out there is that over time the house wins.
The only way you can beat the house is in the short-term.
Anything more and the math starts to really work against you, not just luck.
Bet as much as you can, one time, and never play roulette again.
That is the only way to win.
Idiots will keep going back to the table, time after time though.
I feel more dumb now!
I didn't expect the human calculator would be the one explaining.
Best odds to leave the casino with a profit is to bet the smallest possible amount on red or black, double up when you lose and leave when you win. Only do it once.
You won't break the bank but at least you can say you have beaten the casino.
I like to play on SharkRoulette, they
have low min. bets
It means gamblers percentages of losing is greater regardless what you bet. Casino always has better edge.
Jackie this is why casinos exist.
damn right..and i tried every possible bet..is impossible to beat them..they just give u a lil of bit of taste..nothing else
maria I u so right i like uor idea
Thanks
I betting the farm on 00!! Thanks for the advice!!
The only way to win it, is dont gamble
Lee Bdst... and the only way not to loose is don't gamble. I think that is 1 (win/38) -1(lose/38)= Never waist your money or time.
No. Play blackjack, poker or horses.
Well if you play for entertainment its not that stupid. Seeing a movie or going to a hotel costs you money, and playing a low edge game doesnt cost that much per hour of entertainment.
Charles Pieters call me 8139538574
Charles Pieters understood. Im neither of the things your referring to im just a 21 year old who has lost thousands n just want to finally be on the otherside of the playing board for once. People shouldn't go to court on the casino bc at the end of the day they didn't make you slip your money in and play i just want to be able to feel a little more confident walking into a casino for once n if you can understand shoot me a text if not i still understand.
My strategy his have fun don't double your bets if you loose....and cash out once you make 3 times what you started with. So if u go in with a $100 bankroll cash out when your bankroll is three hundred. End of story if you keep going u WILL eventually loose it all
Thanks for the $1 /1 number bet. Can you please give me the example of $1 each at 10 numbered play? Would that still calculate at 5.3 cents per dollar? = .53/@ $10. Thanks
I've never been wrong on a color bet..
If I need money I go play roulette and bet a lot and then go home..
Good content is Like by far the....gf
Bet the columns and colors. If the number comes black stay on black until it comes red the bet red the next roll. Bet in groups 1-9 whereas 1= 1+9=1 2+8=1 3+7=1 and so on. Col 147 col 258 col 369
Bet 2 of the group * such as 1 which would be 1 10 19 28 and 3 12 21 30. When betting groups ALWAYS bet the 0. It would be a 9 * bet. $9 gets $36
TY.
..
win today lose tommrw
Naz Vob win today don't play tomorrow
Mini 6 if you lost yesterday how would you not play today.
Ronaldo Devander main roulette dimana gan?
True hahaha
Thats gambling for you. Sometimes you win sometimes you loose 😁 just enjoy your game that's it
Hence why your account is on negative balance lol 😂
Laatikkomafia that's pretty much a martingale progression betting system. In the long run it doesnt work because you're betting more and more money, just to break even and earn a small profit. It can work short term but remember that no number or colour is 'due'. Past events in roulette doesnt affect the future... unlike blackjack. Also, casino's have limits on how much you can bet and you need a big bankroll to try and make any betting system work (but they dont). I will say that roulette is beatable though, on a REAL wheel.
+John Ulutunu
You're quite right buddy, but I have no idea who you're replying to though.
Ilusos , esta magnetizada
ive played 24 out of 38 numbers and lost more than ive won!! what does that say
so u cant play... ive won 26games of 30
What?
It says that you can't win at the game - no matter how you play it. It's mathematically impossible.
I play the whole board every spin. Never lost
Lol
That's why he made this video . 38 spots on the whole board. You only get 36/1 so you lose everytime smh
But you do. The odds are 38 to one, but the house only pays 36 to one. So if you are placing a bet on every number, you are placing 38 chips, but you will only win 36 chips on your winning bet.
@@marksolheim6188 that's exactly what I said
The green zero spots were invented so the house can always have the odds in her favor. Otherwise, the casinos would go out of business.
If you want the best chances of actually profiting at a casino, play either Baccarat or Poker. Baccarat because it has (one of) the lowest casino advantage and poker because its skills based (and some luck).
Yeah, Baby!! Baccarat all the way. Then......poker with the Baccarat winnings!
for your info, the ball rotates in opposite direction from the spin......
I was betting last month, winning on betting black and red. When I lost I would double up the bet. Then all of a sudden the wheel came up with 3 zeros in a row. Lost a lot of chips. I left after that thinking it was rigged.
martingale system is horrible idea, don't double your bets you risk too much to gain too little, Paroli is better but just dont double your bets
dang, if u lost your money with only 3 rounds of side bets, you were playing large portions. You need to afford the losses so you can finally land a win and be reimbursed with your strategy (called Martingale). Pick a good set of losses you're willing to take then do the math on how to break it up the wager per round.
The moral of the story should be: Look for single-zero wheels.
They have them on slot of cruises.
And from that 5.3% all those wonderful casinos were built. 👍
amazing
Roulette, some call it the devils game. Is it true that if you add up all the numbers the total is 666 ?
Yeah, if you leave out the zero and double zero.
Even if you included the 0 and 00 they would not even matter because its 0 lol......
1 + 1 + 1 = 3. Got to be good looking 'cause he's so hard to see. Happy Birthday, Johnny.
"Win" -$1.00??? Sounds like a set up!! I'm OUT!! Lol
Yss
Hi
Pythagoras never lied.
When you bet outside the numbers it can land on 3 colors red, black, or green when betting on red or black which only pays 2-1, but green which is 0 or 00 pays 35-1 it could land on green. So say you bet $100.00 on red, also put 4 or more one dollar chips on green. So if you bet on red and it lands on green, your welcome!
I think you just have to watch the board and look for patterns...I bet when I start to feel a pattern I’ve won a lot doing this
The 2 to 1 are the best. Bet on 2 of the 3. 63% chance of winning.
3 to 1 not 2 to 1
No profit tho lol
🔺Hello, do you want to be famous, rich and powerful? Be part of this elite organization called the Illuminati filled with world leaders, business authorities, innovators, artists and other influential members of this planet .... text me on my whatsapp +13106278873 to join our global unity🔺🔺🔺
I guess the fundamental point of the house having better odds exists in the existence of the '0' and '00', without which the EV would amount to 0 in all cases. Wonder how this works for European Roulette. Does the house have slightly worse odds in that case?
Yes
.027
They have a magnet
Probably the best thing in casino roulette is just watching other people play. Buy a drink (they're usually cheap to get people drunk & make stupid decisions) & observe. I've seen people who don't even know the rules (they ask the cashier about odds, payout, how to play, etc.) what more the probabilities & chances... plonk down & lose hundreds or even thousands in 15 minutes.
So why exactly do I lose everything I gamble on roullette ? They say I lose 2.7% , but I walk with 100$ I lose all. I go with 200 $ I lose. I am 100% in lose xD
You may want to look into the concept of Gambler's Ruin 😉.
You lose as the rake of 5% is eating into a smaller and smaller bank roll and wipes you out before you know what has happened.
Because you not gonna stop when you win. The casino offers their edge but they also let you go whenever you want. In contrast, the casino cannot run away from you and your lucky day. So it’s fair enough
so what is your point Einstein? We know this already that house has advantage
EINSTEIN WAS WRONG ! TRY US FOR FREE ! OUR CUSTOMERS ALREADY MAKE 12000 EUROS A WEEK ! E-Mail: PROPHET1TM@GMAIL.COM
But what if you play 2 rows or play 2 12s instead of just one then your probability would be 24/38 giving you the upper hand if you make the same bet everytime would you come out with a higher edge then the house or am I missing something ? Please let me know ! In my math playing 2 sets of 12 gives you a .26% edge or ev of 2.6 cents profit out of every 1$ you play. ( 1(24/38) + -1 (14/38) = 5/19 or .26315
claps and claps filled me with happiness..
Casino have programs in the roulette and camera control first he give you money later he took back
It funny ... the only way to win is to not play
anthony gumbo
You will never see a wheel and a ball rolling in the same direction at a real casino
What is the percentage if you play 1st and 2nd 12 on every play? You have 24 of the 38 numbers.
Unless if you take the five number bet, your expected loss would always be 5.26% of your bet. You lose two bets if that 14/38 chance happens, which is more than 1/3 of the time so you would lose often enough to lose money.
To win in roulette you need luck not math
The more maths you use the luckier you get.
GlennSteel69
Well luck is based on probabilty and the probability say that on average you will lose money playing roulette.
GlennSteel69 To win in Roulette you need to own a casino.
All professional gamblers use maths.
*