šŸŽ° What are the odds of you getting dealt a 20 and the dealer drawing to 21 in blackjack? - Quora

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Blackjack (or pontoon, twenty-one or ā€“ if you're French - vingt-et-un), is a card game. If you've never heard of it, you can find more info and rules.


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probability of being dealt 21 in blackjack

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In a freshly shuffled deck (standard 52 cards), what is the probability that neither of you are dealt a blackjack. Blackjack being 2 cards adding to 21 i.e. Ace+10,J.


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Blackjack (or pontoon, twenty-one or ā€“ if you're French - vingt-et-un), is a card game. If you've never heard of it, you can find more info and rules.


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Blackjack (or pontoon, twenty-one or ā€“ if you're French - vingt-et-un), is a card game. If you've never heard of it, you can find more info and rules.


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list.besplanto-video.fun ā€ŗ ask-the-wizard ā€ŗ blackjack ā€ŗ probability.


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Odds of having twins (21st century) ā€“ 3 in or 3%; Odds of getting a divorce ā€“ 40 to 50%; Odds of being stuck by lightning ā€“ 1 in 5, or 1 in , in any.


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This detailed article explains the odds involved in blackjack, and the probability of certain events So your probability of being dealt an ace and then a 10 is 1/13 X 16/51, or 16/ Examples include Spanish 21 and Double Exposure.


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probability of being dealt 21 in blackjack

The naive assumption is that the chance of each player getting blackjack is independent of the others. Active Oldest Votes.

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

Sign up or log in Sign up using Google. MaxWell MaxWell 2 2 bronze badges. What posts should be escalated to staff using [status-review], and how do Iā€¦. 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.

The outermost branches are short, but the inside of the tree is massive Hopefully this at least helps you contextualize the problem.

Active 1 year, 7 months ago. Home Questions Tags Users Unanswered. Probability of being dealt 21 in blackjack only takes a minute to sign up. Hot Network Questions. Asked 5 years, 3 months ago. With a branching factor of five I knowwe have two aces, once ace, two whatevers, one 10, two 10s.

Sign up using Facebook. The use of neither indicates that. Sign up to join this community. Post as a guest Name. Mathematics Basic strategy blackjack practise Exchange works best with JavaScript enabled.

Email Required, but never shown. The best answers are voted up and rise to the top. Featured on Meta. Blackjack Probability Ask Question. 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. We're switching to CommonMark. 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:. 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. I don't know if this will get you any closer to a closed form solution, but maybe it helps you think about it. Suppose that you are playing blackjack against the dealer. I can't help but wonder if there perhaps is a less hideous way of acquiring the same answer though. So I deleted the more complicated answer I tried to give earlier. Question feed. Nolohice 5 5 silver badges 12 12 bronze badges. Viewed 19k times. Ross Millikan Ross Millikan k 25 25 gold badges silver badges bronze badges. Your calculation for the first player is correct. Related 0. Michael Cotton Michael Cotton 3 3 silver badges 6 6 bronze badges. Sign up using Email and Password.