# Acquire a compact fortune with counting playing cards-the math of blackjack & Co.

Curious about how it is possible to make dollars in a on line casino, for instance, by counting playing cards in Blackjack? Then this new Mathologer online video about the mathematics of on line casino online games like roulette, blackjack, and so forth. is for you.

The online video is primarily based on talks by my buddy and colleague Marty Ross who who is familiar with a whole lot about beating the casinos at their have sport. I do a little bit of an job interview with Marty at the conclude in this online video but just in situation you are fascinated in looking at him in some serious Marty action, listed here is a connection to a online video of him providing a communicate about sporting activities gambling at the Melbourne Museum in 2012:

Also check out his terrible mathematics web site

and his writeup of the resolution our totally free coupon puzzle in Math Horizons

Anyway, thanks a whole lot to Marty for all his assist with this online video and to Danil for his continuing function on providing Russian subtitles for all Mathologer videos.

For those amongst you fascinated in extra information and facts about the mathematics of on line casino online games listed here are some extra references:

a)

Fantastic totally free web page with dependable aspects on all sorts of gambling, discussion of principles and so forth.

b) Concept of gambling and statistical logic by Richard Epstein

c) Professional blackjack

All round finest useful guide

d) Conquer the Seller by Edward Thorp

The primary reserve.

d) The Concept of Blackjack by Peter Griffin

Does a whole lot of the idea underlying and analyzing blackjack devices, linear regression and so forth.

e) Here’s a counting practice app:

Enjoy!

Burkard

P.S.: My t-shirt now characteristics a famous mathematical limerick: Integral zee squared dzee//from 1 to the cube root of 3//instances the cosine//of 3 pi around nine//equals log of the cube root of e.

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1. Back from an extended holiday. Still working on the ultimate Zeta function video, but to get things rolling again here is a video on the math of casino games. The video is based on talks by my friend and colleague Marty Ross who who knows a lot about beating the casinos at their own game. I do a bit of an interview with Marty at the end in this video but just in case you are interested in seeing him in some real Marty action check out the links in the description 🙂

2. Wouldn't it be enough to shuffle the cards into the deck after every round?

3. There's no way 100 spins is a large enough sample size to make a decision.

4. It reminds me of the anime No game no life

5. why is that equation on your t-shirt so interesting that sb prints it on clothes? just because of that beautiful result or is it actually more?

6. The best option is to sell it to another punter for real money, preferably over \$5. The best gambling odds are achieved by not gambling at all.

7. The coupon? I'll give you 'bout tree fiddy

8. for the coupon its 10 * (amount you gain on a bet 1 dollar beat) for the roulte table its 18/37 or 0.486486486 so around \$4.86 is the amount but if you can find better bets its worth more.

9. I want to cancel the 3*pi/9 so hard, it’s not even funny.

10. Given a mathematical universe, the coupon is worth infinite money. If you can buy as many coupons as you want, no price is too high. Since the expectation at blackjack is positive, you are expected to be able to multiply the coupon infinitely. Of course in real life you may only be able to get one coupon and cannot play infinitely long. The casino will kick you out well before you've made back your \$75 trillion you paid for your \$10 coupon. And even if you could do those things, you cannot get your hands on infinite money (infinite inflation?). Nonetheless, in a mathematical universe, no price is too high. That said, it may be quicker to just use your cash directly at the table.

11. Hi Mathologer, I was wandering something. When you were calculating the probability D of doubling \$100, you assumed that in the case where you return after two bets to your strarting amount of money (\$100), you would be in the same state as when you began betting. The probability of then doubling you money is again D. Therefor D=4/9+(4/9)D, therefor D=4/5. Does this principle not imply that any betting scenario has outcome probabilities that are invarient to the outcome of earlier bets? If so, why would it be favourable in roulette to bet on red if many previous, consequent bets have come up red? Would the outcome probability of red not be equal to that of black, because of the invarience to previous outcomes?

(wild hypothesis:) (or maybe more of an uneducated guess:) Could it be that this priniciple isn't valid. That in the case of doubling \$100, you could say that D=4/9+(4/9)D because, to arrive back at \$100 after any amount of bets, you would have to win and lose an equal amount of times. So maybe the equivalence of outcome probability comes from having won and lost an equal amount of times. Is this maybe how it could be that, having red come up in roulette many times in a row means that red is more likely to be the next outcome? Is it that the asymmetry of previous outcomes imply that the dominant outcome is more likely to come up againt, instead of the chances being invarient to previous outcomes?

12. 0 to 36 surely, not 0 to 37, if there are 18 black 18 red and one green

13. Roulette Question: You shouldn't bet on anything, it's a losing bet. The probability of red is still below 50%. There is no way that any Bayes calculation would show differently, not after 100 spins, when on the other side you have to estimate probability that the wheel has a manufacturing error.

Martingale: I come from the other side, accepting sport bets. My fav type of customers are exactly MG customers. Had a case last year when the customer was up 60k euros in first 6 months of the season, but lost it all in next 6 weeks. I wasn't sweating it, they all lose in the end. 🙂

The coupon question: It depends what the rollover requirement is. Usually there is going to be 5 to 10x the bonus.

14. Nice video! (Wopping actually). Could you make a video about poker?

15. T=

16. Now it possible for the house to rig a roulette wheel. They then bias the ball into pockets that increase their winnings.
Whats interesting is that if you are aware that the game is rigged, you can increase your odds. You bet small where you are betting against the big bets. The house doesn't want the big bets to win, so you end up increasing you expected winnings.

17. What's with your t-shirt? I don't understand what's special 🙁

18. 1. Puzzle answer is it doesnt matter
2. Coupon is 10\$ and you have 18/37 chance to get money, so we would say it is worth 10\$*18/37 ~ 5\$ (because you lose coupon win or lose)
But that is not because it is free lol

19. Man, have I missed you. Happy for another lesson from you!

20. brb gonna bet my life savings on red.

21. What does Dh stand for on the black jack chart?

22. Last

23. Oh Mathologer, how I have missed thee!

24. If you lose \$1, \$2, \$3, …, then you gain \$1/12.

25. What came first e or ln I feel the definition is cyclical.

26. 8:17 – wopping. something is wrong. did you somehow swear during this dub?

27. I have personally counted cards and while as a mathematician I will say that you have to understand the math but also are an experienced in casino gambling, I have seen too many brilliant mathematicians taken away from tables because they couldn’t keep their emotions and feeling over-suppressed
Remember while you may win playing Blackjack with your friends Casinos have special measures for this, I would recommend reading up on this

28. You have returned! Hooray!

29. sign up here to win free money: https://www.bestchange.com/?p=345770

30. Coupon allow you to gamble with 2 possible endings; 10\$ or 0\$. So depending on the odds, lets say roulette, its little above %50 for 0\$ and little below %50 for 10\$….

So its worth little under 5\$…If you are gambler….If not then its 0.

31. i would pay TREE(G) dollars for that cheeky coupon

32. I'll never HAVE TO WORK AGAIN. I'll run to the bank, get a loan, and head to the casino!

33. How to leave a Casino with one million dollar:

Enter with two 😉

34. 0:42 Roulette wheels go from 0 to 36, not 37. In the US, it's common for the wheel to have both 0 and 00 slots for a total of 38.