Check out Sarah Hart discussing this lecture and your unanswered questions on our brand new podcast "Any Further Questions?' available on Apple and Spotify
I often play this trick on my math students. I teach them-as did Prof. Hart-that each coin toss outcome is independent of any previous outcomes. Then we do a whole lot of exercises, like the examples Prof. Hart gave. In the exam, I ask almost identical questions-except, instead of coin tosses, now you're drawing cards successively from a well-shuffled deck (without replacing them, of course). And instead of heads and tails, it's now black and red cards. Ah, what joy it is to see their faces drop when they see their dismal grades! Lesson: Always double-check your assumptions.
You touched on how most people use the numbers 1 - 31, but didn't specifically say pick some numbers above that. Like 123456 is BAD, but 49 48 47 46 45 44 is better. Maybe not, for the same reason.
Not the lottery but, a few years back, someone realised that the UK football pools processes were a bit lax. It was possible to hear the results, fill in a form and hand it to one of the collectors (in Australia). The mistake they made was to test it on a medium sized win before going for the jackpot. Two wins close together attracted attention and they were caught.... Anyone want to borrow my time machine for the weekend?
The Black Jack illustration through using the card counting technique which is very simple. Also using the Law of probability with it. It does not matter how many decks of cards there are, the law of probability are still the same. You just adjust your card counting to the amount of decks.
I really don't think it's maths, it's just pure luck. I've tried for many years on Lotto and EuroMillions, it's very random. There are websites where you can look at a set of numbers, if they ever have come up from the 1st draw to the last one, most overdue numbers etc, makes no difference. I've had more luck using the lucky dip method than being analytical. Just when you think you get it (slightly), say it's been low numbers mainly in the last few draws, bound to be high numbers for the next one, nope, its low and mid range numbers. I've also been playing the same numbers for years now (one line each), occasional small win. I play on top, especially for the bigger draws/rollovers/special draws. BUT you have to be in it to win it. Pray I win it please, many thanks. ;p
Well,yes but you go have one edge though. Past draws. You may not win jackpot but there are patterns. usually there are two consecutive numbers in each say, for example,. 10,11. also some number will repeat from the last draw. Just gotta pick the right ones.
18:40 Leibniz wasn't wrong, you know-he had anticipated quantum "dice" centuries ahead of their official discovery. See, at the quantum level, you can't distinguish between 2 identical fermions. Meaning 5 6 and 6 5 are not two different outcomes, they're one and the same. And it has the same probability of occurring as 6 6. In the quantum world, even D'Alembert is correct-provided you "toss" two fermionic "coins" together, instead of tossing one coin twice. As before, HT is the same as TH. So you have 3 outcomes, not 4: HH, HT/TH, and TT. Each has 1/3 probability, so the probability of an H is 2/3-as D'Alembert said. 22:04 American roulette wheels have _two_ green patches: 0 and 00. I tried explaining to them that 0 and 00 are mathematically the same, but they just wouldn't listen! Does math work in casinos at all?!!!
in Portugal this is an huge fever... and it's in the saddest way possible.. poor people, usually with lower education ( but not all...) with very low future expectations and zero hope in a better life.... so they play European lottery "Euro Milhoes" .. its a huge social problems... very sad...
Agreed. BUT it turns into a mathematical one when some people look at every single number drawn in the past and attempt to do frequency charts and such, to ''predict'' what numbers are more likely to be drawn than others in future draws.
True. The world we live in is a physical system-as is everything we interact with therein. We use math to model the physical world-to understand how it works, and to predict the future. For which we make several simplifying assumptions: fair coins, fair dice, fair deck of cards, honest dealer, unbiased lotto machine and roulette wheel, truly random outcomes, no external forces influencing the outcome etc. Do our mathematical calculations match real-world events? It depends on how much our assumptions deviate from reality. If you've assumed that everything is fair and above board, but in reality the lotto machine is rigged or the dealer is a mechanic-then no, your calculations will be way off!
sorry you're wrong it is a game and in a game has have rules mathematical rules that produce the next numbers you can see these mathematical rules are universal rules for law of attraction that comes to numbers but it is not just physical
@@mirriamjulile9738It does not exist. It's all theories, otherwise, the mathematicians could billionaires. You must have enough money to play all probable combination in way to win or use a team money, what is risky if the jackpot is to share between multiple winners. It's a problem if lucky.
In theory yes, but in practice none of the different practical ways of picking numbers is 100% random! So, there is some kind of bias that it's introduced by the method of number picking that, if one becomes aware of it, then the person will have some kind of advantage in picking "more probable" numbers.
Actualy the probabilities are wrong because every time they tried to work out the probability of throwing Dice it's wrong because they don't account for the dice landing on it's side or corner. While playing monopoly with your family it's more than likely you have thrown the Dice and they left the table and landed by a chair leg or table leg on it's edge so everyone says throw again and you do and the game moves on, but when you look at this scenario it's feasible to suggest that throwing the Dice in set amount of times will result at some point with the Dice on it's side or corner. So it needs to be input into any probability outcome otherwise it's not acurate 😊
I have a question/dilemma about a math problem for you math experts: There's a sports lottery game where there's 14 football matches (each match can end in 3 ways, the local team wins=1, there's a draw=X, or the visiting team wins=2). Let's say for instance I have to guess 10 of those matches (1, X or 2). What are the chances of randomly guessing any of those 10 matches out of 14? I looked on various sites and they used the formula ''3 to the power of 10'' resulting in 1 in 59049 chance but it's incorrect and it's a ridiculously large number too, they calculated the chances assuming there's 10 matches in total and not 14. How can I calculate step by step the correct chances of guessing 10 out of 14 matches?
I was at a casino a few years ago watching this "high roller" lose his shirt at the roulette table. I overheard him saying "never happened in Vegas..." Curious? Was it because we were on a cruise ship??
Interesting lecture. Though I am still wondering about Leibniz's conclusion. i.e. equally likely to roll a 12 or 11 and that it's in error because 11 could be 6+5 or 5+6. I'm not disagreeing, and am not a mathematician, but if one rolls a 6, one must roll a 5 to get 11. If one rolls a 5, one must roll a 6 to get 11. Still only 1 way, even though either 6 or 5 can be first counted. Technically, one could say there are two ways to get 12, 6'+6'' and 6''+6', still only one way. You must roll a 6. Please don't tell me why this isn't so, I want to think about it a bit more. Just sharing my thoughts.
It is true that die A can be either a 6 or a 5, a 2 out of 6 chance, but die B is dependent on whether die A is 6 or 5, a 1 out of 6 chance. It would seem that any odds advantage with die A is countered by die B.
There are only 36 possible outcomes for rolling two dice; you can write out all the combinations fairly quickly. If you think the probability of getting a sum of 12 is the same as a sum of 11, explain why it's also not the same probability of getting 10, 9, 8, or 7. Why are you twice as likely to roll a 7 as you are to roll a 10 and three times as likely to roll a 7 as you are to roll 11? 🤔🤓
That's obvious. For example, regardless of which die is which, simultaneously or sequentually, there are 3 ways to roll a 7; 1+6, 2+5, 3+4. One can also say a 6+1, 5+2, 4+3, though that doesn't change the fact that if you have one number the other must be the other appropriate number. There is only one way to roll a 7 if one die is already a 6. Therefore, there is only one way to roll a 12 if one die is a 6, it just so happens that the other die is the same number required... 6. To roll an 11, it doesn't matter which die is the 6 and which die is the 5, 6+5 or 5+6, only that if one die is a 6 the other die must be a 5 and if one die is a 5 the other die must be a 6.
Sport lotteries are really by pure chances and randoms but other lotteries not really randoms but control and only pick numbers where no players pick and it is use to be randoms and pure chances but not any more and give it away the wining numbers when they want it and it is very logical and there is no way to predict the correct number set and it is strictly controlled by computers
tje big trouble is all rockets is on the computet before numbers is drawn, I can give you all singlr double tripple number matches and wich area its played sp that selections is put into the system before the draw. It wjat they select not by change.
I don’t think the odds of splitting US lottos are very high now. Only one of the top 10 jackpots was split at this point and I believe that was the first billion dollar jackpot so there was way more tickets bought than the “average” billion dollar jackpot. Still wouldn’t buy all the combos even if I could because that in itself changes the odds of splitting the jackpot. However, I do think cash values north of 500-550 million are actually technically worth playing as an individual.
Actually, the lottery is not pure luck. There is something in what she says. Probability plus elimination is the key. I stick with pick 3. Winning 4 draws out of 7 isn’t bad.
It's a shame she doesn't show you the calculations behind the numbers that are generated after all it's a computer game and in that game it produces numbers and to produce numbers you have to have algorithms which is mathematical formulas is produced the next number this is what I do on my channel UK 49's Crow on RUclips
@@silentknight1686 I will start to my channel calculations again soon and I'll show videos on it so subscribe to my channel UK 49's crow I should be back within a few days
Can you use mathematics to help you win the lotto... NO! The plastic balls with numbers stamped on them in the lotto drum DO NOT have a memory and do NOT care about so-called hot and cold numbers... Every time a new lotto draw is made... ANY of the plastic balls with numbers stamped on them can be plucked from the machine. They all have the EXACT same chance of being drawn each time... The UK Lotto uses balls from numbers 1 to 59 and 6 main draw numbers are selected ... If you buy one ticket the probability factor of you matching all 6 numbers from the main draw on your one ticket is 1 in 45,057,474. If you buy a lotto picket all you are doing is playing .... Hunt the coincidence ... IF you match all 6 numbers drawn ..It is a PURE coincidence and nothing else. If enough people play "Hunt the coincidence" ..Someone will match all 6 numbers eventually. Sorry for being Mr. Logic ... I might be autistic...But I am NOT thick.
She's just talking nonsense. Take the roulette red & black for an example. Increasing the amount each time can easily bankrupt u when it lands on the 0 and not to mention the amount needed to play this strategy. This wonderful, brainy professor sometimes thinks everything in theory would result exactly the same in practical, but they forget reality. I saw a lecture on billiards sometime back. I wish I could take her to a billiard table and get her to show me in practical. It's not just about the measurements. It's so much to do with skill, practising for years, and still super players like efren beta reyes mentions he has not mastered it.
I bet you Pascal and her have never won the lottery and is because they are not taking in consideration the friction between each painted number in each balls and weight added to each ball in paint 😉
I don't understand her innate desire to soil on the fact that people ARE winning. Whenever she points-out a ticket won, she quickly follows-up with "but they had to share". Who F CARES?? The point is, they WON.
I think she does not know the core of the random event and she does not have sound knowledge like commanding and competitive naturally. To me, some teachers in Uk andUSA are con-artists. They should not be in the Academic community.
Check out Sarah Hart discussing this lecture and your unanswered questions on our brand new podcast "Any Further Questions?' available on Apple and Spotify
quantum based remote temporal telepathy
Her enthusiasm about the subject was beautiful
I have never payed attention to a lecture this closely before. 😂
😂😂😂😂😂🎉
Me either. I’m actually sitting up straight in a chair 😂😂😂
😅😅😂 me too now
😂😂😂😂😂I'm taking notes!!!😅
Even me 😂😊
I often play this trick on my math students. I teach them-as did Prof. Hart-that each coin toss outcome is independent of any previous outcomes. Then we do a whole lot of exercises, like the examples Prof. Hart gave.
In the exam, I ask almost identical questions-except, instead of coin tosses, now you're drawing cards successively from a well-shuffled deck (without replacing them, of course). And instead of heads and tails, it's now black and red cards. Ah, what joy it is to see their faces drop when they see their dismal grades!
Lesson: Always double-check your assumptions.
I need your help
You touched on how most people use the numbers 1 - 31, but didn't specifically say pick some numbers above that. Like 123456 is BAD, but 49 48 47 46 45 44 is better. Maybe not, for the same reason.
Not the lottery but, a few years back, someone realised that the UK football pools processes were a bit lax. It was possible to hear the results, fill in a form and hand it to one of the collectors (in Australia). The mistake they made was to test it on a medium sized win before going for the jackpot. Two wins close together attracted attention and they were caught....
Anyone want to borrow my time machine for the weekend?
The Black Jack illustration through using the card counting technique which is very simple. Also using the Law of probability with it. It does not matter how many decks of cards there are, the law of probability are still the same. You just adjust your card counting to the amount of decks.
I wish I had her as a professor when I went to College.
I really don't think it's maths, it's just pure luck. I've tried for many years on Lotto and EuroMillions, it's very random.
There are websites where you can look at a set of numbers, if they ever have come up from the 1st draw to the last one, most overdue numbers etc, makes no difference. I've had more luck using the lucky dip method than being analytical. Just when you think you get it (slightly), say it's been low numbers mainly in the last few draws, bound to be high numbers for the next one, nope, its low and mid range numbers.
I've also been playing the same numbers for years now (one line each), occasional small win. I play on top, especially for the bigger draws/rollovers/special draws. BUT you have to be in it to win it. Pray I win it please, many thanks. ;p
My thoughts exactly
Well,yes but you go have one edge though. Past draws. You may not win jackpot but there are patterns. usually there are two consecutive numbers in each say, for example,. 10,11. also some number will repeat from the last draw. Just gotta pick the right ones.
Any way to figure out a random number generator?
18:40 Leibniz wasn't wrong, you know-he had anticipated quantum "dice" centuries ahead of their official discovery. See, at the quantum level, you can't distinguish between 2 identical fermions. Meaning 5 6 and 6 5 are not two different outcomes, they're one and the same. And it has the same probability of occurring as 6 6.
In the quantum world, even D'Alembert is correct-provided you "toss" two fermionic "coins" together, instead of tossing one coin twice. As before, HT is the same as TH. So you have 3 outcomes, not 4: HH, HT/TH, and TT. Each has 1/3 probability, so the probability of an H is 2/3-as D'Alembert said.
22:04 American roulette wheels have _two_ green patches: 0 and 00. I tried explaining to them that 0 and 00 are mathematically the same, but they just wouldn't listen! Does math work in casinos at all?!!!
Or, he just made a mistake! I prefer the simplest explanation.
in Portugal this is an huge fever... and it's in the saddest way possible.. poor people, usually with lower education ( but not all...) with very low future expectations and zero hope in a better life.... so they play European lottery "Euro Milhoes" .. its a huge social problems... very sad...
Same case with Third World countries in South East Asia, dude
I would just like to say that lottery is physical system, not mathematical one
Agreed. BUT it turns into a mathematical one when some people look at every single number drawn in the past and attempt to do frequency charts and such, to ''predict'' what numbers are more likely to be drawn than others in future draws.
True. The world we live in is a physical system-as is everything we interact with therein. We use math to model the physical world-to understand how it works, and to predict the future. For which we make several simplifying assumptions: fair coins, fair dice, fair deck of cards, honest dealer, unbiased lotto machine and roulette wheel, truly random outcomes, no external forces influencing the outcome etc.
Do our mathematical calculations match real-world events? It depends on how much our assumptions deviate from reality. If you've assumed that everything is fair and above board, but in reality the lotto machine is rigged or the dealer is a mechanic-then no, your calculations will be way off!
sorry you're wrong it is a game and in a game has have rules mathematical rules that produce the next numbers you can see these mathematical rules are universal rules for law of attraction that comes to numbers but it is not just physical
I use a website to look for a set of numbers which have never come up, safe to say, doing it that way I still haven't won the jackpot!
@@bennycecawhat website? Can you write ?
This is exactly like predicting someone's password which he has yet to create.
What is your opinion of a man that has a Mathematical equation or formula to predict winning Mega Millions numbers and Powerball numbers?
Can you please share with me the mathematical equation or formula, please
@@mirriamjulile9738It does not exist. It's all theories, otherwise, the mathematicians could billionaires. You must have enough money to play all probable combination in way to win or use a team money, what is risky if the jackpot is to share between multiple winners. It's a problem if lucky.
@@mirriamjulile9738 I don't think it's realised to the public and it's very hard
My head hurts!!!!
In theory yes, but in practice none of the different practical ways of picking numbers is 100% random! So, there is some kind of bias that it's introduced by the method of number picking that, if one becomes aware of it, then the person will have some kind of advantage in picking "more probable" numbers.
If you can find a solution for pick 3 where the payout is 800 to 1 let me know
Actualy the probabilities are wrong because every time they tried to work out the probability of throwing Dice it's wrong because they don't account for the dice landing on it's side or corner. While playing monopoly with your family it's more than likely you have thrown the Dice and they left the table and landed by a chair leg or table leg on it's edge so everyone says throw again and you do and the game moves on, but when you look at this scenario it's feasible to suggest that throwing the Dice in set amount of times will result at some point with the Dice on it's side or corner. So it needs to be input into any probability outcome otherwise it's not acurate 😊
I have a question/dilemma about a math problem for you math experts: There's a sports lottery game where there's 14 football matches (each match can end in 3 ways, the local team wins=1, there's a draw=X, or the visiting team wins=2). Let's say for instance I have to guess 10 of those matches (1, X or 2). What are the chances of randomly guessing any of those 10 matches out of 14? I looked on various sites and they used the formula ''3 to the power of 10'' resulting in 1 in 59049 chance but it's incorrect and it's a ridiculously large number too, they calculated the chances assuming there's 10 matches in total and not 14. How can I calculate step by step the correct chances of guessing 10 out of 14 matches?
You cant calculate numbers that will be pick up by machine..bcoz it depends what machine will pick up
Im not understanding please explain how are you getting 210??
I was at a casino a few years ago watching this "high roller" lose his shirt at the roulette table. I overheard him saying "never happened in Vegas..." Curious? Was it because we were on a cruise ship??
Interesting lecture. Though I am still wondering about Leibniz's conclusion. i.e. equally likely to roll a 12 or 11 and that it's in error because 11 could be 6+5 or 5+6. I'm not disagreeing, and am not a mathematician, but if one rolls a 6, one must roll a 5 to get 11. If one rolls a 5, one must roll a 6 to get 11. Still only 1 way, even though either 6 or 5 can be first counted. Technically, one could say there are two ways to get 12, 6'+6'' and 6''+6', still only one way. You must roll a 6. Please don't tell me why this isn't so, I want to think about it a bit more. Just sharing my thoughts.
I believe the difference is thinking it as throwing a pair of dice and not 1 die at a time.
Though it would still seem that there maybe 2 ways to add up to 11, there is still only 1 way for the dice to be 11.
It is true that die A can be either a 6 or a 5, a 2 out of 6 chance, but die B is dependent on whether die A is 6 or 5, a 1 out of 6 chance. It would seem that any odds advantage with die A is countered by die B.
There are only 36 possible outcomes for rolling two dice; you can write out all the combinations fairly quickly. If you think the probability of getting a sum of 12 is the same as a sum of 11, explain why it's also not the same probability of getting 10, 9, 8, or 7. Why are you twice as likely to roll a 7 as you are to roll a 10 and three times as likely to roll a 7 as you are to roll 11? 🤔🤓
That's obvious. For example, regardless of which die is which, simultaneously or sequentually, there are 3 ways to roll a 7; 1+6, 2+5, 3+4. One can also say a 6+1, 5+2, 4+3, though that doesn't change the fact that if you have one number the other must be the other appropriate number. There is only one way to roll a 7 if one die is already a 6. Therefore, there is only one way to roll a 12 if one die is a 6, it just so happens that the other die is the same number required... 6. To roll an 11, it doesn't matter which die is the 6 and which die is the 5, 6+5 or 5+6, only that if one die is a 6 the other die must be a 5 and if one die is a 5 the other die must be a 6.
I once bought 30 tickets on the uk lottery and didn’t i get a single number, can one of you smarty pants tell me the odds of that happening?
yes, one in 750000* - give or take few hundred thousands
I use My time machine to see the numbers then return and win
Thank you Prof. Hart!
Sport lotteries are really by pure chances and randoms but other lotteries not really randoms but control and only pick numbers where no players pick and it is use to be randoms and pure chances but not any more and give it away the wining numbers when they want it and it is very logical and there is no way to predict the correct number set and it is strictly controlled by computers
Hey I like to wind the lotto number I like to know about it
25-39*11*2-4-6
Someone once said: “The best way to become a millionaire by winning the lottery is to start off as a billionaire.”
Update me on anybody who use this method and won the jackpot.
If this method worked do you think she'd be making a yt video about it, or enjoying her winnings
Manipulate And Control And Command Imagination,Visions,Dreams,Matter,Chance,Luck, ProbAbilities....... 8:23 8:25
Excellent 👌👌👌👌🥀🥀🥀🥀🥀💯💯💯💯💯
Plz make a farmula for 5/49
tje big trouble is all rockets is on the computet before numbers is drawn, I can give you all singlr double tripple number matches and wich area its played sp that selections is put into the system before the draw. It wjat they select not by change.
I don’t think the odds of splitting US lottos are very high now. Only one of the top 10 jackpots was split at this point and I believe that was the first billion dollar jackpot so there was way more tickets bought than the “average” billion dollar jackpot. Still wouldn’t buy all the combos even if I could because that in itself changes the odds of splitting the jackpot. However, I do think cash values north of 500-550 million are actually technically worth playing as an individual.
Give me the formula for 1/39 power ball
Actually, the lottery is not pure luck. There is something in what she says. Probability plus elimination is the key. I stick with pick 3. Winning 4 draws out of 7 isn’t bad.
What are you eliminating?
It's a shame she doesn't show you the calculations behind the numbers that are generated after all it's a computer game and in that game it produces numbers and to produce numbers you have to have algorithms which is mathematical formulas is produced the next number this is what I do on my channel UK 49's Crow on RUclips
hi
What Iv been saying all along , I guess every mathematician was sworn to secrecy.
@@silentknight1686 I will start to my channel calculations again soon and I'll show videos on it so subscribe to my channel UK 49's crow I should be back within a few days
You have a better chance doing the lotto numbers in the betting shop.
Have you ever played with your mathematics and won ???
I hate when creators bleep and censor their sfuff, but this was funny.
This is all luck no matter what type of calculations you bring .
Exactly
weird its like I know her, like i ve met her, but dont remember clearly, and never went in uk
Powerball and mega million 5/69+1ขอสูตรด้วยครับthank you
Can you use mathematics to help you win the lotto... NO!
The plastic balls with numbers stamped on them in the lotto drum DO NOT have a memory and do NOT care about so-called hot and cold numbers... Every time a new lotto draw is made... ANY of the plastic balls with numbers stamped on them can be plucked from the machine.
They all have the EXACT same chance of being drawn each time...
The UK Lotto uses balls from numbers 1 to 59 and 6 main draw numbers are selected ... If you buy one ticket the probability factor of you matching all 6 numbers from the main draw on your one ticket is 1 in 45,057,474.
If you buy a lotto picket all you are doing is playing .... Hunt the coincidence ... IF you match all 6 numbers drawn ..It is a PURE coincidence
and nothing else. If enough people play "Hunt the coincidence" ..Someone will match all 6 numbers eventually.
Sorry for being Mr. Logic ... I might be autistic...But I am NOT thick.
Exactly
Any tricks colour pridictions games
Simply assign numbers to each color.
If it worked she wouldn’t be working?
From the comments, i will watch the whole video!!😂😂😂
…so…you’re saying I’ve got a chance?!
She's just talking nonsense. Take the roulette red & black for an example. Increasing the amount each time can easily bankrupt u when it lands on the 0 and not to mention the amount needed to play this strategy. This wonderful, brainy professor sometimes thinks everything in theory would result exactly the same in practical, but they forget reality. I saw a lecture on billiards sometime back. I wish I could take her to a billiard table and get her to show me in practical. It's not just about the measurements. It's so much to do with skill, practising for years, and still super players like efren beta reyes mentions he has not mastered it.
This is what I missed out all the time....I never look the numbers the same....
My name Antoine, this was meant to see😂
Luck cannot be calculated 😂😂
Can calculations be luck? 🤔 😂
@AR_1111 probably 😅😅maybe..it is yes and no ,because no one is sure of being lucky it is just a process of calculating and estimating risk..
Incorrect. Quantum number generators can calculate "luck".
I bet you Pascal and her have never won the lottery and is because they are not taking in consideration the friction between each painted number in each balls and weight added to each ball in paint 😉
In the US:
PowerBall
Odds of Jackpot/Draws per year = Years to win
Why do 8 tickets win every year?
I wish Win lotto.😂❤
I consider myself reasonably intelligent,university and all that....watching this made me feel like a dumbo lol 😆 I know nothing
SHE JST WANT..THAT WE MST WIN THE JACKPOT..THANK U😊
0 + 1 = 0
❌
I don't understand her innate desire to soil on the fact that people ARE winning.
Whenever she points-out a ticket won, she quickly follows-up with "but they had to share".
Who F CARES?? The point is, they WON.
Hears a old coin toss trick try it heads I win tails you loose
Or lose….
ProbAbilities Theories
Kerala lottery chat base today result guess madam
Unusual clothing choice from the woman on the left at the end
I thought of the '60s.
One thing I really dislike about British math videos is the elitist vibe given off by the speaker.
it's just you in your head!
That is a ridiculous comment.
This vid definitely for the math gurus...I'm out of here 😅
الحمد لله
R you a teacher
I think she does not know the core of the random event and she does not have sound knowledge like commanding and competitive naturally. To me, some teachers in Uk andUSA are con-artists. They should not be in the Academic community.
The Gambler’s Fallacy is the most misunderstood concept in gaming, if you believe it, never place a bet.