πŸ’ Blackjack Mathematics: Probability, Odds, Strategies, Systems

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Blackjack is a game of dynamic probabilities and shifting percentages. Most games of chance reflect the mathematical concept known as β€œthe.


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Computers & Mathematics with Applications Β· Volume 59, Issue 1, January , Pages Keywords. Blackjack. Serendipitous hand. Probability models.


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Probability of obtaining a blackjack from the first two cards is P = 32/ = % in the case of a 1-deck game and P = 64/= % in the case of a


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Blackjack is a game of dynamic probabilities and shifting percentages. Most games of chance reflect the mathematical concept known as β€œthe.


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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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The probability to get a blackjack (natural): 64 / = %. 2) Let's do now the calculations for arrangements. (The combinations are also considered.


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Blackjack is a game of dynamic probabilities and shifting percentages. Most games of chance reflect the mathematical concept known as β€œthe.


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probability of blackjack math

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Computers & Mathematics with Applications Β· Volume 59, Issue 1, January , Pages Keywords. Blackjack. Serendipitous hand. Probability models.


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Computers & Mathematics with Applications Β· Volume 59, Issue 1, January , Pages Keywords. Blackjack. Serendipitous hand. Probability models.


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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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probability of blackjack math

Related 0. Sign up to join this community. Home Questions Tags Users Unanswered. I don't know if this will get you any closer to a closed form solution, but maybe it helps you think about it. Because the chance of one player getting blackjack is small, the enrichment is small as well, so this is not far off. This happens every time. 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. Your calculation for the first player is correct. Michael Cotton Michael Cotton 3 3 silver badges 6 6 bronze badges. MaxWell MaxWell 2 2 bronze badges.

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Blackjack Probability Ask Question. Viewed 19k times. Sign up or log in Sign up using Google. The naive assumption is that the chance of each player getting blackjack is independent of the others.

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The use of neither indicates that. Featured on Meta. Email Required, but never shown. I can't help but wonder if there perhaps is a less hideous way of acquiring the same answer though. Then for the other player we either give them two aces from the 3 that are left, give them one ace from the 3 that are left and 1 of the 32 cards, or give them two non-aces from the 47 non-aces that are left. The best answers are voted up and rise to the top. Asked 5 years, 3 months ago. It only takes a minute to sign up. 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:. Post as a guest Name. Sign up using Facebook. Active Oldest Votes. Hot Network Questions. Ross Millikan Ross Millikan k 24 24 gold badges silver badges bronze badges. We're switching to CommonMark. 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. Sign up using Email and Password. So I deleted the more complicated answer I tried to give earlier. Question feed. Active 1 year, 7 months ago. What posts should be escalated to staff using [status-review], and how do I…. Suppose that you are playing blackjack against the dealer.