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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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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.

Enjoy!

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Formulas to calculate all blackjack odds, probabilities of blackjack natural 21, insurance, double down hands, pairs to split, house edge, favorable bets.

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Software - MORE

Formulas to calculate all blackjack odds, probabilities of blackjack natural 21, insurance, double down hands, pairs to split, house edge, favorable bets.

Enjoy!

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.

Enjoy!

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.

Enjoy!

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.

Enjoy!

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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All of this assumes flat betting, otherwise the math really gets messy. Please explain how to calculate the probability of a blackjack occurring in a single deck.

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All of this assumes flat betting, otherwise the math really gets messy. Please explain how to calculate the probability of a blackjack occurring in a single deck.

Enjoy!

Ross Millikan Ross Millikan k 24 24 gold badges silver badges bronze badges. With a branching factor of five I know , we have two aces, once ace, two whatevers, one 10, two 10s. The best answers are voted up and rise to the top. 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. Active 1 year, 7 months ago. Sign up using Facebook. The outermost branches are short, but the inside of the tree is massive Hopefully this at least helps you contextualize the problem. Mathematics Stack Exchange works best with JavaScript enabled.{/INSERTKEYS}{/PARAGRAPH} {PARAGRAPH}{INSERTKEYS}Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Sign up using Email and Password. Featured on Meta. 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:. Email Required, but never shown. This happens every time. Viewed 19k times. What posts should be escalated to staff using [status-review], and how do Iā¦. I don't know if this will get you any closer to a closed form solution, but maybe it helps you think about it. We're switching to CommonMark. 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. Active Oldest Votes. 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. Nolohice 5 5 silver badges 12 12 bronze badges. So I deleted the more complicated answer I tried to give earlier. Related 0. Asked 5 years, 3 months ago. Michael Cotton Michael Cotton 3 3 silver badges 6 6 bronze badges. Hot Network Questions. Question feed. Suppose that you are playing blackjack against the dealer. MaxWell MaxWell 2 2 bronze badges. Sign up or log in Sign up using Google. Your calculation for the first player is correct. Sign up to join this community. The naive assumption is that the chance of each player getting blackjack is independent of the others. I can't help but wonder if there perhaps is a less hideous way of acquiring the same answer though. Home Questions Tags Users Unanswered. Blackjack Probability Ask Question. It only takes a minute to sign up. The use of neither indicates that.