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!

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!

Software - MORE

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!

Software - MORE

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

Enjoy!

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!

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!

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

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

Enjoy!

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