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The sum of the the two probabilities is % which means that you'll get blackjack once out of every 21 hands. 5 Responses. thom waters. May.
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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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Blackjack being 2 cards adding to 21 i.e. Ace+10,J,Q,orK (or vice versa as order does not matter). The farthest I've really come is that the odds of the first player.
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rating.prikol-russkie.fun āŗ blackjack āŗ blackjack-what-are-the-odds.
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Naturals are the strongest hands you can obtain in the game of Therefore, we calculate the probability of getting dealt a blackjack in the following way: P.
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The Wizard of Odds answers readers' questions about Blackjack. So the probability of being ahead in your example is about 18%. I have a few What is the probability that you play ten hands and never obtain a (two-card) 21? Assume the.
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Nolohice 5 5 silver badges 12 12 bronze badges. Related 0. I don't know if this will get you any closer to a closed form solution, but maybe it helps you think about it. Asked 5 years, 3 months ago. Active Oldest Votes. Viewed 19k times. Blackjack Probability Ask Question. Michael Cotton Michael Cotton 3 3 silver badges 6 6 bronze badges. Hot Network Questions. With a branching factor of five I know , we have two aces, once ace, two whatevers, one 10, two 10s. Sign up to join this community. Suppose that you are playing blackjack against the dealer. Post as a guest Name. I can't help but wonder if 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. Mathematics Stack Exchange works best with JavaScript enabled.{/INSERTKEYS}{/PARAGRAPH} The naive assumption is that the chance of each player getting blackjack is independent of the others. 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. {PARAGRAPH}{INSERTKEYS}Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Home Questions Tags Users Unanswered. Ross Millikan Ross Millikan k 24 24 gold badges silver badges bronze badges. Question feed. Sign up or log in Sign up using Google. Active 1 year, 7 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:. Featured on Meta. We're switching to CommonMark. 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. What posts should be escalated to staff using [status-review], and how do Iā¦. So I deleted the more complicated answer I tried to give earlier. The use of neither indicates that. Sign up using Facebook. The best answers are voted up and rise to the top. Email Required, but never shown. Sign up using Email and Password. 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. Your calculation for the first player is correct.