šŸ¤‘ Blackjack Odds and Probability

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blackjack math 3. When a preponderance of high cards remain, the true count is high and the player has an advantage over the casino.


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If you want to win at Blackjack, you need to gain a good understanding of what the odds and probabilities for every possible scenario at the table are.


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Thorp, was a mathematician working for IBM. He also learned computer programming in order to prove his theory on blackjack card counting. If the player keeps.


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Thorp, was a mathematician working for IBM. He also learned computer programming in order to prove his theory on blackjack card counting. If the player keeps.


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This is my second try, but I think is a MUCH better argument than what I had before. So I deleted the more complicated answer I tried to give earlier. The total # of.


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Does blackjack card counting really work? Part 1

We're switching to CommonMark. Question feed. Nolohice 5 5 silver badges 12 12 bronze badges. The use of neither indicates that. Hot Network Questions. What posts should be escalated to staff using [status-review], and how do Iā€¦.

Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields.

Sign up to join this community. I don't know if this will get you any closer to a closed form solution, but maybe it helps you think about it.

Michael Cotton Michael Cotton 3 3 silver badges 6 6 bronze badges. Then for the blackjack 21 mit player we either give them two aces from the 3 continue reading are left, give them one ace from the 3 that are left and 1 of blackjack maths probability 32 cards, or give them two non-aces from the 47 non-aces that are left.

Home Questions Tags Users Unanswered. Viewed 19k times. I can't help but wonder blackjack maths probability there perhaps is a less hideous way of acquiring the same answer though. Because the chance of one player getting blackjack is small, the enrichment is small as well, so this is not far off.

Post as a guest Name. The naive assumption is that the chance of each player getting blackjack is independent of the others.

Active 1 year, 7 months ago. Suppose that you are playing blackjack against the dealer. This happens every time. Sign up or log in Sign up using Google. It only takes a minute to sign up. MaxWell MaxWell 2 2 bronze badges.

This is not quite correct, as the fact that the first player did not get blackjack enriches the average deck with cards that could make a blackjack for the second player.

Email Required, but never shown. Ross Millikan Ross Millikan k 24 24 gold badges silver badges bronze badges. Featured on Meta. Sign up using Facebook. Mathematics Blackjack maths probability Exchange works best with JavaScript enabled.

Asked 5 years, 3 months ago. The probability of both getting blackjack is just the probability of the player getting blackjack and the subsequent probability of the dealer also getting blackjack:. The outermost branches are short, but the inside of the tree is massive Hopefully this at least helps you contextualize the problem. With a branching factor of five I know , we have two aces, once ace, two whatevers, one 10, two 10s. Related 0. Your calculation for the first player is correct. So I deleted the more complicated answer I tried to give earlier. Active Oldest Votes. Sign up using Email and Password. The best answers are voted up and rise to the top. Blackjack Probability Ask Question.