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I have a few questions regarding blackjack: How often can one expect the dealer to bust and how often can a player expect to win four hands in a row? John from.


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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


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A blackjack game has a dealer and one or more players. Let's call p the total probability of winning a pass line bet (so p is the number we are trying to calculate). Problems. If you are dealt a point total of 16, what is the probability of busting.


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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


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kartinki-besplanto.fun › ask-the-wizard › blackjack › probability.


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Thanks for reading? I'm interested in the following situational question - In a standard Double Deck game, What is the probability of being dealt a.


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I have a few questions regarding blackjack: How often can one expect the dealer to bust and how often can a player expect to win four hands in a row? John from.


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kartinki-besplanto.fun › ask-the-wizard › blackjack › probability.


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blackjack probability question

If the player wins, she gets twice her bet; if she loses, she loses her money. Suppose you are the only player against the dealer, and you are in the first hand of a game played with one deck. Many people assume that the best strategy for the player is to mimic the dealer. If you are dealt a 3 and an ace, what is the probability of not busting if you hit, assuming that a whole deck will be used to choose among when you are dealt your next card? The name blackjack comes from the fact that when blackjack was first introduced in the U. Let's take, as an example, the potential 0. A blackjack game has a dealer and one or more players. In the long run, whatever you do, you will on average lose money. What is the probability that you bust if you decide to hit?{/INSERTKEYS}{/PARAGRAPH} A first explanation is the following: betting ten dollars each hand, you will in the long run lose an average of 1. If the player's first two cards total 21, this is a blackjack and she wins 1. A second conservative strategy is called never bust: hit 11 or less, stand on 12 or more. It consists of a table that describes what you should do in any situation in the game you can find an example of this table at Wikipedia. Each player plays against the dealer. The so called basic strategy is based on the player's point total and the dealer's visible card. You are dealt an 8 and a 6, while the dealer is showing a queen. Indeed, we can infer this from the player's disadvantage. After the player is dealt her initial two cards she has the option of doubling her bet and asking for one additional card which is dealt face down. One of those was a to-1 payoff for a hand consisting of the ace of spades and a black jack that is, the jack of spades or the jack of clubs. Problems If you are dealt a point total of 16, what is the probability of busting if you hit, assuming that a whole deck will be used to choose among when you are dealt your next card? You can find more information on blackjack's rules, strategies, and history on the Internet. Face cards count as 10 and an ace may be counted as 1 or After all of the players have finished, the dealer reveals the hole card and plays the hand with a fixed strategy: hit on 16 or less and stand on 17 or more. It would be nice to have an idea of the probability of winning any particular bet when playing some specific strategy. The player loses if she busts and wins if she does not bust and the dealer does observe that if both the player and the dealer bust, the player loses. Each player can then hit ask for an additional card until her total exceeds 21 this is called busting or she decides to stand stop taking cards for the rest of the hand. With soft hands, the basic strategy is to always hit 17 or less and even hit 18 if the dealer's up card is 9 or 10 where the 10 refers to a 10, J, Q, or K. Some casinos only allow doubling down on Splitting pairs. A very interesting free on-line blackjack trainer can be found here. All players are initially dealt two cards and the dealer is dealt one card face down and one face up these are called the hole card and up card respectively. Under the most favorable set of rules, the house advantage against a player using the basic strategy can be as low as 0. Blackjack is almost always disadvantageous for the player, meaning that no strategy yields a positive expected payoff for the player. When discussing casino games, one usually finds statements such as the ones above saying something like: "the house advantage in this game is about 0. If p was, for example, 0. At the beginning of a hand, if the player has two cards with the same number that is, a pair she has the option of splitting the pair and playing two hands. In our case, the house advantage is 0. Exceptions exist: some casinos offer special rules that allow a player using the right strategy to have a positive expected payoff; such casinos are counting on the players making mistakes. Otherwise, the player wins if her total is closer to 21 than the dealer's. {PARAGRAPH}{INSERTKEYS}Blackjack also known as twenty-one or sometimes pontoon is one of the most popular casino card games in the world. The player may not hit beyond this single required card. With the basic strategy, you should never split 10's, 5's or 4's, always split 8's, and, in the other cases, split against an up card of 2 to 7, but not otherwise. Soft Hand. For instance, you can try Wikipedia. Doubling down. If the dealer and player tie it is called a "push;" the player keeps her bet but does not earn any additional money. With the basic strategy, you should always double with a total of 11, double with 10 unless the dealer's up card is 10 or A, and double with 9 only against a dealer's 2 to 6. A hand that contains an ace that can be counted as 11 is called a soft hand, since one cannot bust by taking a card. Let's call p the total probability of winning a pass line bet so p is the number we are trying to calculate. In principle, a pair of aces should of course be split, but in this case blackjack rules allow you to get only one card on each hand, and getting a 10 does not make a blackjack. With the current rules, a blackjack hand doesn't even need to contain a jack.