💰 Blackjack – Blackjack rules

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Because the player knows the dealers first hand before deciding what to do, he can compare the probabilities of the dealers last hand against the probabilities of possible final scores for each intermediate score he has. If his result is reaching a score of 17 or more, he will deal himself no further cards. So it is quit easy to find out the probabilities of his final score. If the dealer busts, the players wins independently of his final score. The player now can continue to buy further cards, one by one, until he believes that he is near enough to If the player believes to have reached a score high enough he must signalize the dealer to stay , which means not to ask for any further card. If he reached a score of nine, ten or eleven with his first two cards, he can double his bet. Double or buy , if the sum of the first two cards is 9, 10 or Split , buy or stay , if the first two cards have the same value. Never split X-X. Blackjack can be played from one to seven players against one dealer. There are some fundamental rules, which never change and must always be obeyed: Alway buy if the score is below With a soft hand You can't bust, so there is no reason to stay if the score is 17 or less. A score of 20 is too good, to take any further risks. Splitting If the first two cards are of the same value, the player has the possibility to split his hand , which means that each of the cards are used to start with a separate bet. A score with an ace valued as 11 is named soft-hand. Thereafter the player receive a second card. So during that decision, very little information is available. If the first two cards are of the same value, the player has the possibility to split his hand , which means that each of the cards are used to start with a separate bet. There are 20 possible conditions where the player has to take decisions. For each decision a player can do the best strategy can be computed. The first thing to do, is to calculate the probabilities of the dealers last hand. This computation is straight forward as the dealer has no way of doing any decision. Basic Blackjack rules In order to understand how the best strategy is computed, lets have a look at the Blackjack rules. The dealer shuffles the cards. Then each player and the dealer receives one card. Now all the players must place their bets. If the final sum is higher than the sum of the dealer, the player gets a play-off of of his initial stake. If however the total expectation is above zero unfortunately thats quite rare the player has to place high bets. Never split A score of 10 is a good point to start with, so use it. If the player holds a score of 22 or more, he busted and thus he loses his bet immediately. The player has some more possibility's other than buy and stay. Dealers turn Once the last player has decided to stay with his score, the dealer starts to draw a second card. Interpret the strategy tables For each decision a player can do the best strategy can be computed. As the game goes on without reshuffle, the probabilities to draw certain cards will raise or decline, depending on which cards have gone in the past. With this comparison, winning expectations can be calculated, gaining information about the best playing strategy. The only information the player here, is the total expectation for the current card distribution in the shoe. Never ever double a Blackjack. If the dealer exceeds 21, he busts.

In order to understand how the best strategy is computed, lets have a look at the Blackjack rules. If the players combination is Blackjack, the play-off is of the initial stake. However if he does so, he will be dealt only one more card. If the dealer has a score of 16 or less, he must draw until he has reached 17 or more.

All these decisions depend blackjack hand values the dealers first card, making a total of There blackjack hand values some fundamental rules, which never change and must always be obeyed:. These are:. The next thing is to find out the probabilities of what would be if If the players score is 16, what's the probability of achieving 17, 18, 19, 20, 21 or busting.

For each split hand, an additional bet equal to the first is required. Stakes height The stake has to be placed before the player can see the dealers first card.

How to compute the correct strategy The analyst sees the shoe as black box which computes him a probability for drawing a card of a certain value. If this is above zero, he shall place high bets. Never buy if the score is 17 or higher. This is the basic knowledge You have: The dealer can not split nor double; he must play according to strict rules: Dealer must stand on all That's the players advantage! The color of the cards does not have any effect. A Blackjack Ace and a card whose value is 10 beats all other combination of cards. Blackjack is played with 1 to 9 decks of 52 cards each. The cards all lie face up. The stake has to be placed before the player can see the dealers first card. Knowing the best playing strategy and knowing the probabilities for each final score, the dealer and the player will reach, the total expectation can be calculated. That's the dealers advantage! From our point of view the shoe behaves like a wheel of fortune with varying distances between the nails. If the sum is equal, then nobody wins. The analyst sees the shoe as black box which computes him a probability for drawing a card of a certain value. About Blackjack Blackjack rules Counting methods Software Manifest Strategy Expectation for buy versus stay Expectation for double versus buy Expectation for splitting pairs Splitting cards for teammates Expectation for insurance Dealer probabilities Player Probabilities Simulate. Doubling down The player has some more possibility's other than buy and stay. The total expectation is the magic number playing Blackjack. The values of the cards correspond to their numerical value from All face cards Jack, Queen, King count 10 and the Ace either 1 or 11, as the holders desires. On the other side, if both the player and the dealer busts, these scores are not considered as equal and the player looses his stake. If it is below zero the player has to place minimum bets as with this card distribution he will lose on the long term. There is one exception: If the player splits two Aces, he receives only one more card and in such a case a score of 21 is not considered as Blackjack. If the sum of the dealer is higher, the player loses his bet. Once the last player has decided to stay with his score, the dealer starts to draw a second card.