In order to understand how the best strategy is computed, lets have a look at the Blackjack rules. Blackjack is played with 1 to 9 decks of 52 cards each. The values of the cards correspond to their numerical value from 2-10. All face cards (Jack, Queen, King) count 10 and the Ace either 1 or 11, as the holders desires. A score with an ace valued as 11 is named soft-hand. A soft-hand score of 17 is denoted as 7/17.

• When Is An Ace 11 In Blackjack Legal
• Blackjack Ace Value
• Splitting Aces In Blackjack

Playing BS, when you have 11 vs the dealer A, it is an 'even' money bet. You have 11/he has 11. No matter, what the count, before the card comes out, you have an even chance to beat the dealer. You will win 5 and lose 5. Ace: In Blackjack, an Ace card (A) can be counted as both a value of 1, or 11. Action: The amount of money that’s been bet. Can refer to an aggregate of the total amounts of bets made over a certain period of time, or it can refer to the amount in play on a particular wager. Only 1 Ace ever counts as 11. So, an alternative method to treating each Ace as 11 would be to treat every Ace as 1. Then add 10 to the total value ( carried regardless of Ace on hand ) and keep that in a separate 'high' variable ( value + 10 ).

The color of the cards does not have any effect.

The goal of the game is to reach a score (=sum of the cards) as high as possible but not more than 21. A Blackjack (Ace and a card whose value is 10) beats all other combination of cards. If the final sum is higher than the sum of the dealer, the player gets a play-off of 1:1 of his initial stake. If the players combination is Blackjack, the play-off is 3:2 of the initial stake. If the sum of the dealer is higher, the player loses his bet. If the sum is equal, then nobody wins. If the player holds a score of 22 or more, he busted and thus he loses his bet immediately. If the dealer busts, the players wins independently of his final score.

Blackjack can be played from one to seven players against one dealer. The dealer shuffles the cards. Now all the players must place their bets. Then each player and the dealer receives one card. The cards all lie face up. Thereafter the player receive a second card. The player now can continue to buy further cards, one by one, until he believes that he is near enough to 21. 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.

Doubling down

The player has some more possibility's other than buy and stay. If he reached a score of nine, ten or eleven with his first two cards, he can double his bet. However if he does so, he will be dealt only one more card.

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. For each split hand, an additional bet equal to the first is required. 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.

Dealers turn

Once the last player has decided to stay with his score, the dealer starts to draw a second card. If his result is reaching a score of 17 or more, he will deal himself no further cards. If the dealer has a score of 16 or less, he must draw until he has reached 17 or more. If the dealer exceeds 21, he busts. 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 17. That's the players advantage! 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. That's the dealers advantage!

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. Say we have 6 decks of 52 cards, so the probability of drawing an Ace is 6*4/6*52 = 24/312 = 7.7%. The probability of drawing a second Ace without reshuffle is 23/311 = 7.4% and so on. 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. From our point of view the shoe behaves like a wheel of fortune with varying distances between the nails.

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. So it is quit easy to find out the probabilities of his final score.

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. Probabilities also have to be calculated for splitting and doubling.

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. With this comparison, winning expectations can be calculated, gaining information about the best playing strategy.

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. The total expectation is the magic number playing Blackjack. If it is below zero the player has to place minimum bets as with this card distribution he will lose on the long term. If however the total expectation is above zero (unfortunately thats quite rare) the player has to place high bets.

Interpret the strategy tables

For each decision a player can do the best strategy can be computed. There are 20 possible conditions where the player has to take decisions. These are:

• Buy or stay if the score is 12, 13, 14, 15, 16, 7/17 or 8/18.
• Double or buy, if the sum of the first two cards is 9, 10 or 11.
• Split, buy or stay, if the first two cards have the same value.

All these decisions depend upon the dealers first card, making a total of 200. There are some fundamental rules, which never change and must always be obeyed:

• Alway buy if the score is below 12.
• Always buy if the score is below or equal to 7/17. With a soft hand You can't bust, so there is no reason to stay if the score is 17 or less.
• Never buy if the score is 17 or higher.
• Never split 5-5. A score of 10 is a good point to start with, so use it.
• Never split X-X. A score of 20 is too good, to take any further risks.
• Never ever double a Blackjack.

For other decisions consult the expectation and probability tables computed on the Blackjack strategy pages.

Stakes height

The stake has to be placed before the player can see the dealers first card. So during that decision, very little information is available. The only information the player here, is the total expectation for the current card distribution in the shoe. If this is above zero, he shall place high bets.

Learn how to play blackjack, as well as the rules and strategies for winning at the card game. In this article, you'll learn

• The origins and history of blackjack.
• The rules and strategies of blackjack
• When to hit, stay, split and double down in blackjack

History of Blackjack

It's believed that the game of blackjack has its roots in France. It was originally known as 21. The goal of the game is to beat the dealer's hand by scoring 21 or as close to 21 as you can get without going over. If the dealer scores closest to 21, you lose.

Although blackjack was played even in early American gambling houses, it was never as popular a game as poker, so gaming houses had to spice it up a bit in order to give it a little more mass appeal. Some gambling houses offered bigger payouts for blackjack hands, while others gave bonuses for certain card combinations—namely an ace of spades with a jack of clubs.

That's how 21 was renamed blackjack—from the combination of those two cards.

In modern versions of the game, any 10-value card with any ace is considered blackjack, but wouldn't it be fun to mix it up a bit when playing at home and give an extra chip or two to the player who gets the jack of clubs/ace of spades combination?

Let's Play

When you request a hit in blackjack, you're asking the dealer to give you another card.

Blackjack is played with a standard 52-card deck and is a very simple game that requires a certain amount of skill based on a certain amount of luck. The luck part has to do with the cards you are dealt and the skill has to do with learning some basic strategies—mainly knowing when to hit, stand, split or double-down.

When Is An Ace 11 In Blackjack Legal

The goal is not to beat the other players at the table—whether that's the casino table or the kitchen table—the goal is to beat the dealer's hand.

The dealer begins by shuffling the cards. Some casinos play with up to as many as six decks, but at home one deck will do just fine. The dealer will then deal the cards to each player and to him- or herself. The dealer should be standing or sitting across from the other players and always starts the deal with the person on his or her left.

The hole card is the dealer's face-down card.

On the first deal, each player is dealt two cards, face-down. The dealer deals him- or herself one card face-down (the hole card) and the other card face-up. Each player is basically playing a separate game based on the cards he or she is dealt and in relation to what the player thinks the dealer has.

The dealer begins with the first player on his or her left. That player looks at his or her cards and determines if he or she can take another card without going over 21. It's important to get a good look at the dealer's face-up card because that could determine what strategy you decide to use in playing your own hand.

The cards are valued as follows:

• Ace = Either 1 point or 11 points
• Face cards = 10 points
• Number cards = Face value of card
• Blackjack: One Ace and any card with a 10-point value

You can keep score according to wins, and determine the winning player by the number of games won. If you don't want to play for money, play for chips or for chores around the house.

Technically, scoring 21 with more than two cards is not considered blackjack, but you can still win this way. If you total 21 before the dealer or any other player, you win the pot.

When your cards are dealt, add them up and figure out whether you want to stand with what you have or take another card. In home games, you will say to the dealer, “hit me” or “stay,” while at the casino you will use hand motions to tell the dealer what you want to do.

There are many strategies for standing or hitting, but basically, you just have to figure out your odds. If your cards total nine, chances are pretty good that you'll be able to take another card without going over 21. If your cards total 18, your chances of going over 21 are much greater, and you will likely want to stay.

Remember that you are not only trying to score as close to 21 as possible, but you are trying to beat the dealer—so you have to check out the dealer's cards, too. The problem is, you can only see one of his or her cards at this time and you have to do some guessing to figure out if you can beat him or her.

Hitting and Standing

When you have your cards, you have to decide whether to hit or stand. As I mentioned earlier, sometimes your choice will be obvious. The tricky cards are the ones that add up to between 12 and 16.

The dealer works with one player at a time, starting with the first player on his or her left. The dealer stays with that player until he or she stands or busts (goes over 21). When that first player is finished with his or her turn, the dealer moves on to the next player and continues around the table until each person has played his or her hand.

If you decide to take the hit, the dealer will toss down a card face-up in front of you. You can either indicate that you want another hit or that you want to stand. If your hand is blackjack, turn your cards face-up to show the dealer what you have. If you're playing for chips, you will immediately receive a payout at this point and the game continues with the other players. If the dealer also has a blackjack, the play is called a push. You keep your original bet, but you don't win anything more.

Blackjack Ace Value

The Dealer's Hand

After the deal, the dealer will have one face-up and one face-down card in front of him or her. If the face-up card has a value of 10, the dealer will look at the face-down card to check for a blackjack. If he or she has blackjack, he or she will turn over the cards and take your bet and your hand away.

If you have blackjack, the dealer will take your cards, but you keep your bet. If you are not playing for money, you and the dealer are considered tied if you both have blackjack.

If the dealer does not have blackjack, he or she will continue the play around the table. If the dealer's face-up card is an ace, he or she will go around the table and ask the players if they want “insurance.”

Insurance

If you're playing for money, or in the casino, the dealer will ask you if you want insurance if his or her face-up card is an ace. The ace is, of course, the card that determines a blackjack. If the dealer's face-down card is a 10-value card (and there are 16 of these cards) he or she has blackjack.

If you decide to take insurance, you can bet up to half of your original bet by placing your chips below your original bet. If the dealer has a 10-value card, then he will pay off the insurance bets at two to one, but you lose your original bet. If the dealer does not have blackjack, the players lose their insurance bets and play continues with the original bets. This is why you're no better off taking insurance.

Three Strikes

Casinos will use the insurance rules, but don't be fooled—it's just a sneaky way for casinos to try and make some extra cash. The odds are against you in taking insurance, so beware.

Let's say you bet $10 and you decide to take insurance because the dealer's face-up card is an Ace. You place another $5 under your original bid. If the dealer does not have blackjack, you lose your $5, but keep your original bet of $10. You're out $5. If the dealer does have blackjack, you lose your original bet of $10, but the dealer pays out two to one, thus giving you back $10. You haven't made a penny.

Why is insurance even an option then? Beats me. You neither gain nor lose from it—only the casino turns a profit from insurance.

Splitting and Doubling-Down

When you split your hand in blackjack, what you do is turn your two cards face-up side-by-side, and if you're betting, place another bet of identical value to your original bet. You are now playing two hands. The dealer will deal to the hand on your right first—until you stand or bust—and then the dealer will play to your other hand.

The abilities to split or double-down are the strategies that make the game interesting. If you are dealt two cards of the same value—let's say two 8s—you can split the hand.

If you are dealt another 8, you can re-split and play three hands by moving that 8 alongside the other two cards, or just place another bet on the table, equal to your two previous bets.

Splitting Aces In Blackjack

Casino rules will vary, but some have strict rules about re-splitting. If you are unsure of the rules, just ask the dealer. Also, some casinos will not allow you to touch your cards, so in this case, just place another bet over your cards and the dealer will know that you are splitting.

At home, make sure you establish the rules before you start the game. It might be fun to adopt some of the strict casino rules just to liven things up a little.

Experts advise that you should always split aces, and it is highly recommended to split 8s.

Doubling-down refers to doubling your bet, so if you're playing for money or chips at home, you can certainly employ this strategy. It is a strategy that is definitely used in the casinos—so you should know about it if you're heading to a blackjack table near you.

The best time to double-down is when the two cards in your hand total 11. That means you are banking that the next card you are dealt will be a 10-value card. It's a real gamble, but the odds are pretty good that you will get a 10-value card because there are so many of them in a deck.

Doubling-down means that you can double the size of your original bet. You do this by turning your cards face up and placing another bet on the table that is equal to your original bet. When you double-down, you are dealt one more card—meaning you do not have the option to stand on your original hand or take any more hits after you are dealt the one extra card.

Basic Strategy

Blackjack is not just a game of chance. While a lot depends on the luck of the draw, there are many strategies to better your odds of winning. Here are some basic strategies to help you play a better hand:

• Always hit any hand that totals 11 or under.
• Stand on 17 and over. (The only exception to this rule is when you have a soft 17—meaning the hand contains an ace. And even here, be careful of the dealer hand—check out his or her cards before asking for a hit.)
• For cards totaling 12 to 16, whether to hit or stand depends on the dealer's face-up cards: Hit if the dealer has a 7 or higher; stand if the dealer has 2 or 3 points.
• Never take insurance.
• Always split aces and 8s.
• Never split 4s, 5s, and 10-value cards. The odds will be against you.
• Never double-down below 8 points.
• Always double-down on 11 points.
• When you have 10 points, double-down when the dealer shows 2 and 9.

Looking for more family-friendly card games? Check out how to play Hearts.