What Is An Ace In Blackjack
This is because in blackjack an ace can be counted as one or eleven. When you are dealt a soft hand at the blackjack table, the dealer will speak of your hands as “3 or 13, 4 or 14, 5 or 15,” etc. Ace-seven is by far the most difficult hand for the professional blackjack player to handle. Depending on what the dealer is showing, you will either hit, stand, or double down. Basic Strategy tells us that we.
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.
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.
Ace-seven is by far the most difficult hand for the professional blackjack player to handle. Depending on what the dealer is showing, you will either hit, stand, or double down.
Basic Strategy tells us that we should double if the dealer is showing 3 through 6, stand on 2, 7, and 8, and hit on 9, 10, and A. This may come as a shock to some since common sense tells us to stay with an 18 regardless of what the dealer has. Let's look at the math behind the strategy.
First, we must look at A-7 as a plain old 18. Basic Strategy dictates that we stand on a pat 18 regardless of what the dealer is showing; we want to get to 17 or higher and then let Lady Luck determine the outcome. This isn't necessarily the case for a soft 18.
What Is An Ace In Blackjack
- If the dealer is showing a 2, the return on an 18 is $.12 for each dollar invested.
- For 3 through 6, this jumps up ranging from $0.40 to $0.50 per dollar.
- 7 is also $0.40.
- At 8, it goes back down to $0.11.
- 9 through A plummets into a negative return of $0.18 to $0.10 loss per dollar.
So is it really worthwhile to go against the common sense factor and hit an 18 if the dealer is showing 9-A?
- Hitting A-7 on a dealers 9 gives us a negative return of $0.10,
- 10 a negative return of $0.14, and
- Ace a negative return of $0.09.
The spread here, while not seeming like much, is less than the -$0.18 to -$0.10 return of staying. To minimize the damage, hitting on these cards is a necessity.
Doubling is the third option with this hand. In this case, you count the hand as an 8 and pray for a 9 or 10, or you count it as an 18 and hope for an Ace through 3.
First of all, doubling when the dealer is showing:
All Aces In Poker
- 9 through A gives us a -$0.29 to -$0.36 return, far greater of a loss than hitting. So doubling on those cards is out of the question.
- Doubling on 8 is also a negative return (-$0.03), whereas it's a positive return to hit. Again, out of the question.
- Doubling on 7 is a positive return of $0.22, which is less than the $0.40 you will get with staying. If the dealer is showing a 7, it makes economic sense to stand.
- Doubling on the dealer's 2 is also $0.12 return, but it is less than a cent less difference of a return than standing. In the long run, this adds up to major dollars, believe me. You will want to stay rather than risking the double in this case.
- That leaves 3 through 6. The math here gets tricky, so pay careful attention. The numbers above regarding standing on 18 don't take into account the power of the Ace. As you know, the Ace can be counted as either a 1 or an 11, and because of this, hitting on A-7 is not nearly as dangerous as hitting a pat 18. In fact, the 23% (3/13) chance of drawing a card to better your 18 makes the diminished return on doubling the right move.
While the return ranges from $0.18 to $0.38 (compared to the $0.40 to $0.50 of staying), the 23% odds of improving plus the doubled amount of money pumped into the hand make doubling the most profitable choice.
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