How Do U Play Blackjack

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How Do U Play Blackjack – Do you think you can win at blackjack? What is the best way to play? In this article, we will solve these and other questions with the help of mathematics.

The goal is to get 21 or higher from the dealer with our cards without going over the numbers.

How Do U Play Blackjack

How Do U Play Blackjack

After the bets are placed, each player is dealt 2 cards and the dealer is dealt only one.

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Players must indicate whether they want to hit, stand, split, or split based on their cards and the dealer’s cards.

All cards have a numerical value, ie. 2 to 10, except for the 10 of diamonds we’re interested in, and the ace, which can be 1 or 11

Payments are made at the same time and we can get 21 with more than two cards, but with two cards we only count blackjack.

The house can only hit or stand, and only if its hand is below 17, so if it reaches or exceeds this value, it automatically stays.

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If the dealer goes over 21, the players at the table win their bet, and if there is a tie, the player gets their bet back.

American blackjack has several other rules that allow you to change when the dealer can hit or how players can deal their hands. He also deals himself a second face card, and if his first card gives him a chance to play blackjack, you can get a tip from him. If he actually gets 21, the players lose their bets before playing. This speeds up the game and reduces the home advantage.

First, depending on the card they give us, we can hit until the total is over 21, we get close to 21 or we lose the bet if we win.

How Do U Play Blackjack

Para doblar nuestra apuesta necessitamos una mano que sume obligatoriamente 9, 10 u 11 y solo podra hacerlo en el principio de turno. If you double your bet, you get one more card.

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To double up, we need a hand with a mandatory sum of 9, 10 or 11, and you can only do this at the beginning of the round. If you double your bet, you can get one more card

If our cards are of the same value, we can split each card into different hands to play them at the same time, but for this we also need to add the initial bet. Also, you should know that as part of the hand deal, even if we roll a 21 with the next card, it is not considered a blackjack.

After the split, most casinos allow you to double your new hand, which gives us a certain advantage. (If this is not allowed, the house edge increases by 0.12%).

If the card revealed by the dealer is an ace, we can make an insurance bet if we believe that the house will get a blackjack with the next card. If we bet and finally win it, we get a reward.

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Finally, walk away, this is only possible in American blackjack, and if the player walks away, he only loses half of the bet.

–3 to 2 (three chips, bet for every two chips or 1 and a half for every bet) if we beat the dealer in blackjack (if no tie). In American blackjack in Las Vegas, you pay 6 to 5.

In the American blackjack example, if a player has blackjack and the dealer sees an ace, they are offered a 2 to 1 (instead of the usual 3 to 2) blackjack option as an alternative. . to the insurance rate.

How Do U Play Blackjack

After that, there are only 4 cards that are aces, so if we want to get blackjack, we need one of them, but … what are the chances?

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Blackjack odds are the ways we have to get 2 cards from all possible combinations to draw 2 cards with 21.

In other words, the favorable cases are among the possible cases, and although they are related, they are not the same as the odds.

To get 21 from 2 cards, we need an ace and a 10. And the deck has 4 aces and 16 tens (between the hundred cards and the 10 value cards).

On the other hand, all combinations of 2 cards, combinations of 2 received 52 elements (here the order does not matter and they cannot be repeated),

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4.16 / C52, 2, which is a 64/1326 or 4.8% chance of getting a blackjack (this made sense because we know you always need an ace to play blackjack and only 4 in the deck).

In a deck game, every suit or number is in the same proportion because the 52 cards have 104 8 by 4 aces. But the probability of a given outcome is slightly different because it is less affected by card removal. a 104 deck 104 a deck 52. Thus, each game with different decks has its own probability study.

To calculate the probability of going over 21, we need to calculate the probability of rolling any hand and for that we need to analyze the hand.

How Do U Play Blackjack

As we can see, in the beginning 4 out of 13 we will be above 21. That’s about a 30% chance, so if it’s 12, we’ll go over 21 only 30% of the time.

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(The calculation of this probability is simplified, because we really have to take into account that the cards up to 12 are slightly different from the probability of the card we asked for, but with this calculation the difference is not so great, and it is also much more difficult to learn and understand) .

Also note that if our total is 11 or less, we can never go over 21 with another card. Therefore, the probability is 0.

As we can see, if we don’t want to lose a lot of time, we have to hit if we have less than 14 hands. The question is… If we limit ourselves to 14, do we have a chance? to win?

Given that the dealer always gets 17 or more cards, a stand of less than 17 only makes you a winner if the dealer passes.

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In other words, unless the dealer goes over 21, his hand will always be worth 17 or more, so players with hands less than 17 will lose their bets.

According to a mathematical study, the dealer’s probability of going over 21, depending on his hand (and his strategy), is as follows:

We can see that the probability of passing for the high card is very low because the ace gives the house the most advantage.

How Do U Play Blackjack

The probability is higher for a low card, but remember that in no case does it exceed 50%.

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Averaging them all, we conclude that dealer 21 wins 28.35% of the time (368, 67/13), meaning that the remaining 71.65% of the time, you lose your bet if the hand is under 17.

As we can see, setting the limit lower than the dealer’s limit is pointless, because in most cases we lose.

If you understand that the dealer always waits for the player to finish the game before continuing to play. This means that if a player is over 21, they will lose their bet no matter what the dealer does. So if the dealer is also over 21, he is the player who loses anyway because he was eliminated earlier. This means the house wins if it’s actually a tie, and that happens 7.9% of the time you play. That’s about an 8% edge over the player, which drops to 5.6% if you consider that blackjack pays 3 to 2 instead of a fair 2 to 1. This is the main advantage of the casino.

To combat this, there are options that allow the player to have a flexible strategy. If he is interested, he can double up, separate his hands, leave, etc. But more importantly, he knows the dealer’s card, which forces him to make decisions (as opposed to simply hitting or standing) with that card in mind, and that’s where the math comes in again.

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In the 1950s, a group of mathematicians led by Roger Baldwin developed a basic strategy. It is based on the optimization of the player’s decisions, so that the action he chooses is optimal in terms of profit from all the actions he can take. This gives us the highest possible long-term benefit in the first place.

And this is achieved by developing a probabilistic model that calculates based on a player’s combination, the decision to stand, call, pair, split or bet insurance for fixed hands that are not so flexible. depending on the dealer’s hand when it is more reasonable to do so. as for soft hands (where there is an ace and can change the amount).

Mathematically speaking, a recursive function with certain finite values ​​and a table of all probabilities for the dealer’s sum, if he stands, and the maximum between the expected winnings

How Do U Play Blackjack

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