How To Play Blackjack – Think you can win at Blackjack? What is the best way to play? In this article, we solve these and other questions with the help of mathematics.
The goal is to get 21 of our cards or the dealer’s highest value, without exceeding the number.
How To Play A Blackjack
When bets are placed, 2 face up cards are dealt to each player and only one to the dealer.
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Players must state based on their cards and the dealer whether they want to hit, stand, double or split the hand.
All cards are worth their numerical value, for example from 2 to 10, except for the numbers that are worth 10 and the Ace which can be 1 or 11 depending on our interest.
The funds are paid at the same time and we can get 21 with more than two cards, but we will be considered blackjack when we end up with two.
The house can only hit or stand and it can only hit when its hand is below 17, so if it reaches or exceeds that value, it will automatically stand.
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In the event that the dealer reaches 21, the players still at the table will receive their bet, in the event of a tie, the player will receive his bet back.
American Blackjack has different rules that allow you to change if the dealer hits or how players can deal their hands. In addition, he is dealing with a second face card that you can consult if the first card gives him a chance to make a blackjack. If he effectively gets 21, the players lose the bet before they even play. This speeds up the game and also reduces the house edge.
One, we can guess, until our total exceeds 21 depending on the card they give us we will be close to 21, or else we will lose the bet if we go over.
Para doblar nuestra apuesta necessitamos una mano kue sume obligatoriamente 9, 10 u 11 i solo podra hacerlo en el principio de turno. En caso de doblar tu apuesta solo podras recibir una carta mas.
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To double, we need a hand that must be 9, 10 or 11 and you can do it only at the beginning of the round. If you double your bet, you get one more card
If our cards are of the same value, we can split each card into different hands to play at the same time, but this must be added to the initial bet. You also need to know that the split hand, even if I add 21 with the next card, is not considered a blackjack.
After the deal, most casinos allow us to double the new hands we get, this gives us a special advantage. (I did not allow it to increase the house edge by 0.12%).
If the card revealed by the dealer is a flush, we can make an insurance bet, if we feel that the house will get blackjack with the next card. If we gamble and win, we will be rewarded.
How To Play 21/blackjack
And finally walk away, which is only possible in American Blackjack and if the player walks away he loses half of the bet.
-3 to 2 (three chips, two tails or one and a half bet per chip) if we beat the Blackjack dealer (as long as there is no tie). In American Blackjack in Las Vegas you pay 6 to 5.
In the case of American blackjack, it is also common that if the player has black and the dealer has an Ace showing, he is given the option of calling blackjack of 2 in 1 (instead of the usual 3 to 2) as an alternative. Insurance gambling.
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After that, there are only 4 cards that are aces, so if we want to get blackjack, we will need one of them, but… what are the possibilities?
The Mathematics Of Blackjack
The probability of winning Blackjack is how we must get 21 with 2 cards in all possible combinations to draw 2 cards from the deck.
Or to put it another way, good cases between possible cases, which are not the same as fraud, are related.
To get 21 with 2 cards we need aces and 10. And there are 4 aces and 16 tenths in the deck (between face cards and 10 value cards).
On the other hand, for all combinations of 2 cards, a combination of 52 elements is taken 2 at a time (where the order is null and cannot be repeated),
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4.16 / C52, 2 equals 64/1326 or 4.8% chance of getting Blackjack (which makes sense since we know we always need Ace and there are only 4 in the deck).
In the case of playing with several decks, each suit or number is the same, because there are 4 aces in 52 cards, instead of 8 104. But the probability of getting a certain result is slightly lower. different, because it affects the removal of less. A deck of 104 cards compared to a deck of 52. So each game with a different deck has its own potential study.
To calculate the probability of passing 21 we need to calculate the probability of passing on each hand.
As we can see, first there are 4 cases out of 13 where we exceed 21. This is about a 30% chance, which means that the value of 12 only 30% of the time we hit, we will exceed 21.
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(The calculation of this probability is simplified because we really have to take into account that the cards of 12 are slightly different from the probability of the card we are looking for, but the difference between these calculations is not great and it is also different. very difficult to learn and understand).
Also note that if our total is 11 or less we can never exceed 21 other cards.
As we have just seen, if we don’t want to lose most of the time we have to beat our hand less than 14. The question is… If we put a limit of 14, do we have a chance of winning?
If we consider that the dealer always hits the card up to 17 or more, a rack with a value less than 17 makes you the winner only when the dealer passes.
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Or to put it another way, if the dealer does not exceed 21, his hand will always have a value equal to or greater than 17, so players who stand on a hand less than 17 will lose their bet.
Well, according to a statistical study, the odds of a dealer going above 21 depending on the card he has (and his strategy) are as follows:
We can see that the high card’s probability of passing is very low because the Ace is the card that gives the house the most advantage.
The lower the card, the higher the probability, but note that it should never exceed 50%.
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If we average them all, we conclude that the dealer exceeds 21 28.35% of the time (368, 67/13), which means that the remaining 71.65% of the time when you get less than 17, you will lose your bet. . .
As we have just seen, it is not useful to set the limit below the seller’s limit, because in most cases we will lose.
If you find that the dealer always waits for the player to finish his game before continuing to play with him. This means that if the player turns 21, they lose the bet regardless of what the dealer does. So if the dealer is also above 21, he is the losing player unless he is first eliminated. That leaves the house to win the case, which is actually a draw and happens 7.9% of the time you play. That is about an 8% edge over the player which ultimately reduces to 5.6% if we consider that blackjack offers 3 to 2, instead of even 2 to 1. That is the main advantage of the casino.
To deal with this, the player has options that allow him to have a flexible strategy. He can double when he’s interested, split hands, leave, etc. But most importantly, he knows the dealer’s card which will force him to make those decisions (other than hitting or standing) with this given card and that’s where math comes in again.
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In the 1950s, a group of mathematicians led by Roger Baldwin developed the Basic Strategy. This is based on optimizing the player’s decisions so that the way he chooses is the best in terms of the profit obtained from all the actions he can take. This first brings us the maximum possible profit in the long term.
And it is achieved by developing a probability model that calculates based on the player’s hand and the dealer’s card when it is best to make a decision to stay, fold, double, split or hedge a bet, either strong hands and not flexible respecting soft hands (where he has the ability to change the total).
In the language of mathematics, we can say that using a recursive function with some defined final value and a table with all the possibilities of the sum of the trader, the maximum between the expected profit if he stops and
