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# Blackjack probability questions

Help Center Detailed answers to any questions you might have Blackjack - probability. Ask Question. up vote 0 down vote favorite. Probability a blackjack dealer will bust if you know their score and know the exact deck? 0. A blackjack game has a dealer and one or more players. Each player plays against the dealer. It would be nice to have an idea of the probability of winning any particular bet when playing some specific strategy. Indeed, we can infer this from the player's disadvantage. Let's take, as an example, the potential % disadvantage when . Math Lesson Plan Tatsiana Maskalevich January 27, probability of being dealt a blackjack on the rst two cards will increase, de-crease, or stay the same if more than one deck of cards is used? Answer the following questions to nd out. (a)Combine 2 decks of cards. Again, perform 50 trials in each case. What is.

## Blackjack Odds

You can see that the player has the highest advantage of A first explanation is the following: Post as a guest Name. Developer Salaries in This chart shows the percentage chance that you will be dealt a hand in each given value range.

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## Blackjack Dealer Outcome Probabilities

This site uses cookies to deliver our services and to show you relevant ads and job listings. By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Suppose that you are playing blackjack against the dealer. So I deleted the more complicated answer I tried to give earlier. The total of possible deals to the two players is: Then, the of ways to deal a blackjack to both players would be: Also, the of ways that exactly one player gets a blackjack would be: 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.

So, the probability of at least one player getting a blackjack is: Hence the probability of neither player getting a blackjack is: 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:.

I don't know if this will get you any closer to a closed form solution, but maybe it helps you think about it. This happens every time. With a branching factor of five I know , we have two aces, once ace, two whatevers, one 10, two 10s.

The outermost branches are short, but the inside of the tree is massive Hopefully this at least helps you contextualize the problem. The naive assumption is that the chance of each player getting blackjack is independent of the others. 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.

Added in verbose history section. Естественно, кто-то сейчас воспользуется собственным членом, но на данный момент именно пальцы приносят весь тот кайф, о котором давно мечтала эта развратная девочка. As he moved around the chapel putting the wine and bread back, he rubbed against the boys. jpg|--"uploadsposts2012-011327060260_224. Просто этот малообразованный нег. До двери было каких-то пару шагов, но дались они мне с огромным трудом - меня качало из стороны в сторону.

All the time, rubbing it against Jake's face and genitals.

### Details

The dealer outcome probability charts on this page can be helpful in determining which of two tournament strategies is preferable. Then look up the dealer upcard across the top, and read down the column to see the probability of each dealer outcome. The probabilities of each outcome other than Blackjack assume that the dealer has checked the hole card and did not have blackjack. But this is not true for the last two colums tens and aces of the diagram! Apparently you did not read the description at the top of the page.

The Ace and Ten columns are after the dealer has checked for blackjack and did not have it. That method is far more useful for most purposes than including blackjack in the normal totals. These are my results for dealer busting chances: No, something is wrong with your calculations.

Your numbers agree with mine for dealer upcards of 5,6,7,8, and 9, but are too low on all the other upcards. If you want a second place to compare, see this thread and download the spreadsheet there: I need your excel calculations for my project. Can you mail it to me?

## Blackjack auto shop

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