Blackjack is essentially a card game between two people, the player and the dealer. Probability of drawing an Ace from the standard deck of cards is. P(aceβ)= 4. , since there are 52 cards and 4 of them are Aces. When a.

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Hence, the busting probability is 32/52 = 8/13 &asymp The probability is 1, since whatever card you are dealt, you can count the ace as a 1 and In this case we must take into account the composition of the remaining cards in the deck.

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First event (getting an 11 card): There are 4 aces in a pack, and we've got a full pack (52 cards), so the probability of getting one of the aces first.

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First event (getting an 11 card): There are 4 aces in a pack, and we've got a full pack (52 cards), so the probability of getting one of the aces first.

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So the probability of an ace first blackjack is (4/52)*(16/51). If the odds of pulling a ten count card out of a deck is about % and the odds of pulling out an.

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With the jokers removed, the deck contains 52 cards, any of which has the same probability of.

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Blackjack is essentially a card game between two people, the player and the dealer. Probability of drawing an Ace from the standard deck of cards is. P(aceβ)= 4. , since there are 52 cards and 4 of them are Aces. When a.

Enjoy!

Software - MORE

So the probability of an ace first blackjack is (4/52)*(16/51). If the odds of pulling a ten count card out of a deck is about % and the odds of pulling out an.

Enjoy!

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With the jokers removed, the deck contains 52 cards, any of which has the same probability of.

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Each 52 card deck has 4 suits of 13 cards. There are sixteen value cards (βJ-Q-K), and Aces which can assume a value of 1 or The odds of hitting a.

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Graham Kemp Graham Kemp k 5 5 gold badges 41 41 silver badges 95 95 bronze badges. For other cards we must also consider the probability that it is the dealer's second card. However, if the dealer shows a 10 and the player shows 2,3 and the dealer doesn't have Blackjack things are different. Intuitively, because we know the dealer doesn't have an Ace, we should be more likely to receive an Ace or less likely to receive a non-Ace - but I'm unsure how to calculate this exactly.

So by total probability, for any from the nine such cards that are not showing or an ace :. I'm interested in calculating the chance of receiving certain cards given the player's hand and the dealer's up-card after the dealer has "peeked" for Blackjack.

Email Required, but never shown. Active Oldest Votes. The best answers are voted up and rise to the top. Ross Millikan Ross Millikan k 25 25 gold badges silver badges bronze badges. Post as a guest Name. You know that four cards are not in the deck 10,2,3, and another non-ace, leaving 48 cards in the deck.

You mention the probability of an Ace, the probability of a non-Ace, but don't say anything specific. The new moderator agreement is now live for moderators to accept across theβ¦.

Home Questions Tags Users Unanswered. Hot Network Questions. In many casinos Backjack is played not with the standard card deck but 6 such decks shuffled together, dealt from a holder continue reading a shoe, because of its shape.

Typically, if the dealer shows an Ace or value card 10,J,Q,K the dealer will "peek" at their second card and check for Blackjack. You can now work out probabilities if the player and dealer are showing two or three cads from the same kind. It only takes a minute to sign up. Feedback post: New moderator reinstatement and probability of blackjack in 52 card deck process revisions.

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Any help? The dealer's down-card is equally likely to be any of the 49 remaining cards and thus shouldn't affect the probability at all, we simply ignore it. What assumption would you like to make regarding the number of decks? Ignore the irrelevant stuff. Featured on Meta. Active 3 years, 1 month ago. Also, as noted many casinos use many decks for blackjack to make card counting and rich decks less common. Asked 3 years, 1 month ago. Abovestand Abovestand 1 1 silver badge 8 8 bronze badges. If the dealer does not peek for Blackjack this calculation is easy: For example, suppose the dealer shows a 4 and the player shows 2,3. Viewed 1k times. Sign up or log in Sign up using Google. Sign up using Facebook. If Blackjack is discovered all players except those with Blackjack also will lose immediately and the next round is dealt - this speeds up the game and thus speeds up casino profits. A good starting place with this kind of problem is "can you solve it if there are only 2 cards in the deck? Sign up to join this community. Probability of drawing certain cards in Blackjack Ask Question. For example, suppose the dealer shows a 4 and the player shows 2,3.