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Blackjack Probability and Blackjack Odds
To fully understand the game of blackjack, you must understand and master blackjack odds. It's crucial to know how the casino gains its edge and how it helps them win. It's also important to understand blackjack odds such as the odds of hitting a 10 or the odds of being dealt a blackjack. You can read over these blackjack odds charts to help understand the logistics behind blackjack.
Casino and Dealer Advantage in Blackjack
In most casino games of blackjack, the house advantage (the dealer advantage) is ~ 8%. The house gets this advantage by the dealer being the last player to act. By acting last, all other players have already made their decisions and could quite possibly bust before the dealer has his turn.
By using correct blackjack basic strategy, you can turn the casino edge in blackjack from 7%-8% down to 0.5%. If you correctly use advanced card counting techniques, you can often change blackjack odds and give yourself the advantage over the casino. Manipulating the house odds to your favor is the reason most casinos don't allow card counters to play blackjack. Golden princess slot machine.
The odds vary depending on the game rules and the number of decks, but the odds of a dealer busting in blackjack are about 30%. What is the house edge in blackjack? The house edge in blackjack is the percent of the player's initial bet that the casino should expect to win in the long-term. Blackjack should need no introduction. It is the most popular table game in the United States, and is easily found in casinos throughout the world. The object of the game of Blackjack is simply to get more points than the dealer without going over 21. Rules Hand Signals Wizard's Simple Strategy Basic Strategy Blackjack. If you're willing to put in a little work, blackjack offers the best odds. I'm talking about a.5 percent casino edge, depending on which table you're sitting at. (Meaning for every dollar you gamble, you'll lose only half a penny on average.) But to get these ultra-good odds. Steve Bourie, author of the American Casino Guide, interviews Michael 'Wizard of Odds' Shackleford about blackjack. Mike answers some of the most common ques. Blackjack Odds of Winning. As mentioned previously, the best possible house advantage you'll usually see at blackjack tables is 0.5% or a little bit less, even with a solid understanding of basic blackjack strategy. However, it's theoretically possible for blackjack.
Probability of Busting on a Hit
It's very important to know the probability of your hand busting when you are holding any total in the game of blackjack. The following odds chart shows the blackjack odds of busting, depending on your current hand value:
Hand Value | % Bust If You Hit |
---|---|
21 | 100% |
20 | 92% |
19 | 85% |
18 | 77% |
17 | 69% |
16 | 62% |
15 | 58% |
14 | 56% |
13 | 39% |
12 | 31% |
11 or Less | 0% |
Two-Card Count Frequencies
This interesting blackjack odds chart is the two card count frequency chart. This chart shows the percentage chance that you will be dealt a hand in each given value range. The most important frequencey to note is the chance of being dealt a natural blackjack (natural 21 value. The odds of being dealt a natural blackjack are merely 4.8%. Following this chart you will see that the most common two card hand, at 38.7%, is a hand totaling 1-16, which is considered a decision hand.
Two Card Count | % Frequency |
---|---|
Natural 21 | 4.8% |
Hard Standing (17-20) | 30.0 % |
Decision Hands (1-16) | 38.7% |
No Bust | 26.5% |
TOTAL | 100.0% |
Dealer Final Hand Probabilities
This blackjack odds chart shows the dealer final hand probability. These are the percentages that the dealer will end up with a hand totaling each corresponding value (up to 16). Read over this chart to understand the odds that the dealer has to make his final hand.
Dealer Final Hand Value | % | Cumulative % Total |
---|---|---|
Natural 21 | 4.82% | 4.83% |
21 (3 or More Cards) | 7.36% | 12.19% |
20 | 17.58% | 29.77% |
19 | 13.48% | 43.25% |
18 | 13.81% | 57.06% |
17 | 14.58% | 71.64% |
16 | 28.36% | 100.00% |
Player Advantage vs. Dealer Up Card
The first two columns in this odds chart explain the dealer's chance of busting, depending on the up card that he is showing. You should note that the dealer has the highest chance of busting when he is showing a 5. The third column in this chart shows the player advantage of using basic strategy, compared to each up card the dealer is showing. You can see that the player has the highest advantage of 23.9%, when the dealer is showing a 5. When the dealer is showing any card that is 9 value or higher, the player is in the negative advantage range.
Dealer Up Card | Dealer Bust % | Player Advantage % with Basic Strategy |
---|---|---|
2 | 35.30% | 9.8% |
3 | 37.56% | 13.4% |
4 | 40.28% | 18.0% |
5 | 42.89% | 23.2% |
6 | 42.08% | 23.9% |
7 | 25.99% | 14.3% |
8 | 23.86% | 5.4% |
9 | 23.34% | -4.3% |
J,Q,K | 21.43% | -16.9% |
A | 11.65% | -16.0% |
Effects of Removing Cards from a Deck
When looking at the odds of removing certain cards from a 52-card deck, some cards have a much greater effect on blackjack odds. To create the strongest card counting system ever invented, you would have to incorporate all of these slight and subtle differences into the numbers to be a completely accurate system.
Removing every 5 from a deck cards would make the largest impact of improving your blackjack odds, as a player. On the other hand, removing every Ace from a deck of cards would make the largest impact on improving the odds for the casino.
Card | % Effect of Removal |
---|---|
2 | 0.40% |
3 | 0.43% |
4 | 0.52% |
5 | 0.67% |
6 | 0.45% |
7 | 0.30% |
8 | 0.01% |
9 | -0.15% |
10 | -0.51% |
A | -0.59% |
See also:
US Players and Credit Card, BitCoin Deposits Accepted!
Blackjack is unlike many other casino games because the player is actively involved in the outcome of his hands (rather than betting on a random event over which he has no influcene). As a result, a player's chances of winning depend on not only the random outcome of the draw but also upon the decisions he makes during the game—to hit or to stand, to exercise options such as doubling or splitting.
Chances of Winning Blackjack
Throughout several rounds, the chances of winning each hand will also be skewed by the cards that have been removed from the deck. The player's net loss or gain (the amount in money, rather than a tally of hands won or lost) over a session will be affected by how much he wagers, and at which times he elects to increase or decrease the wagered amount. Finally, house rules can be imposed to change the parameters of the game and restrict the player's options.
With all of these factors in effect, it's not possible to affix a specific number to all situations or all styles of play—but three figures are often cited:
- Most casinos expect each blackjack table to have a hold of about 20%—that is, they expect to be able to keep about 20% of the wagers made. Correspondingly, the average player can expect to lose about 20% of his stake over the course of every session.
- The 'core odds' reduce the house's advantage to 10.99%. Based on the assumption the player will elect to hit or stand by the same criteria as the house, the house will win roughly 10.99% more hands than the player.
- The net odds—which consider the amount of money won or lost rather than the core number of hands, generally work out to an 8.89% advantage to the house (given a two-deck game played by the most common set of rules).
Dealer Final Hand Probabilities
This blackjack odds chart shows the dealer final hand probability. These are the percentages that the dealer will end up with a hand totaling each corresponding value (up to 16). Read over this chart to understand the odds that the dealer has to make his final hand.
Dealer Final Hand Value | % | Cumulative % Total |
---|---|---|
Natural 21 | 4.82% | 4.83% |
21 (3 or More Cards) | 7.36% | 12.19% |
20 | 17.58% | 29.77% |
19 | 13.48% | 43.25% |
18 | 13.81% | 57.06% |
17 | 14.58% | 71.64% |
16 | 28.36% | 100.00% |
Player Advantage vs. Dealer Up Card
The first two columns in this odds chart explain the dealer's chance of busting, depending on the up card that he is showing. You should note that the dealer has the highest chance of busting when he is showing a 5. The third column in this chart shows the player advantage of using basic strategy, compared to each up card the dealer is showing. You can see that the player has the highest advantage of 23.9%, when the dealer is showing a 5. When the dealer is showing any card that is 9 value or higher, the player is in the negative advantage range.
Dealer Up Card | Dealer Bust % | Player Advantage % with Basic Strategy |
---|---|---|
2 | 35.30% | 9.8% |
3 | 37.56% | 13.4% |
4 | 40.28% | 18.0% |
5 | 42.89% | 23.2% |
6 | 42.08% | 23.9% |
7 | 25.99% | 14.3% |
8 | 23.86% | 5.4% |
9 | 23.34% | -4.3% |
J,Q,K | 21.43% | -16.9% |
A | 11.65% | -16.0% |
Effects of Removing Cards from a Deck
When looking at the odds of removing certain cards from a 52-card deck, some cards have a much greater effect on blackjack odds. To create the strongest card counting system ever invented, you would have to incorporate all of these slight and subtle differences into the numbers to be a completely accurate system.
Removing every 5 from a deck cards would make the largest impact of improving your blackjack odds, as a player. On the other hand, removing every Ace from a deck of cards would make the largest impact on improving the odds for the casino.
Card | % Effect of Removal |
---|---|
2 | 0.40% |
3 | 0.43% |
4 | 0.52% |
5 | 0.67% |
6 | 0.45% |
7 | 0.30% |
8 | 0.01% |
9 | -0.15% |
10 | -0.51% |
A | -0.59% |
See also:
US Players and Credit Card, BitCoin Deposits Accepted!
Blackjack is unlike many other casino games because the player is actively involved in the outcome of his hands (rather than betting on a random event over which he has no influcene). As a result, a player's chances of winning depend on not only the random outcome of the draw but also upon the decisions he makes during the game—to hit or to stand, to exercise options such as doubling or splitting.
Chances of Winning Blackjack
Throughout several rounds, the chances of winning each hand will also be skewed by the cards that have been removed from the deck. The player's net loss or gain (the amount in money, rather than a tally of hands won or lost) over a session will be affected by how much he wagers, and at which times he elects to increase or decrease the wagered amount. Finally, house rules can be imposed to change the parameters of the game and restrict the player's options.
With all of these factors in effect, it's not possible to affix a specific number to all situations or all styles of play—but three figures are often cited:
- Most casinos expect each blackjack table to have a hold of about 20%—that is, they expect to be able to keep about 20% of the wagers made. Correspondingly, the average player can expect to lose about 20% of his stake over the course of every session.
- The 'core odds' reduce the house's advantage to 10.99%. Based on the assumption the player will elect to hit or stand by the same criteria as the house, the house will win roughly 10.99% more hands than the player.
- The net odds—which consider the amount of money won or lost rather than the core number of hands, generally work out to an 8.89% advantage to the house (given a two-deck game played by the most common set of rules).
An interesting, if somewhat premature, note on these figures is that the house expects to earn more than double (20% as compared to 8.89%) what the odds would seem to indicate it will and that these expectations generally hold. This demonstrates how the player's decisions can affect the outcome of the game—and that the average player will lose more than double the mathematically probably amount because of uninformed decisions.
The basic blackjack, intermediate, and advanced blackjack strategies described in the blackjack strategy section of this site can further impact the odds. By using blackjack basic strategy consistently, the player can decrease the house's advantage to less than 1%. Play money blackjack. By adding the intermediate and advanced strategies, a player can make the game completely even (hence fair) and, in rare situations, also turn the odds in his favour by a fraction of a percentage.
What are Odds?
In its purest sense, odds are the chances a given outcome will occur given the possible alternatives. The most comfortable metaphor is a coin toss: if a coin is tossed in a genuinely random fashion (nothing influences the outcome), it is just as likely to come up heads as tails. If it is tossed ten times, you can expect it to come up heads five times, and tails five times.
Granted, it is possible, even with true randomness, that the toss will result in heads ten times in a row—which is why odds consider likely rather than specific outcomes. In the long run, the mathematical probability will bear itself out in practice—if a coin is tossed 1,000 times, it is likely to come up heads 500 times (though, in practice, it will be plus or minus a few). Thus, it's not necessary to spend several years flipping a coin million of times to determine the likely outcomes or rig a supercomputer to simulate the same—though some stubbornly have.
Casino games are carefully designed to exploit the odds, always taking advantage for the house: a player will never be paid a wager that is strictly equal to the true odds. A good example of this practice is roulette, in which a wager on a single number pays 35 to 1 even though the odds of winning are 1 in 37.
What are the odds of winning blackjack
How To Win At Blackjack Every Time
Blackjack, however, foils the computation of odds based on random events because there are a number of influences that prevent it from being completely random—most significantly the player's choices during the course of the game. In such cases, the odds are set to turn a reasonable profit from the average player. (Actually, they're set to turn a reasonable profit from the reasonable intelligent player, an exorbitant one from the average player, and flat-out milk a 'sucker.') This is why an attentive player who makes the right decisions can come out ahead.
The odds of the hand's outcome are determined not only by the initial hand dealt and by the number of hits that are added. This can vary greatly, because a player can take as many or as few as he desires—a player may opt to hit every hand he is dealt until it exceeds 21 and lose 100% of the time.
What Are The Odds Of Winning At Blackjack
We can, however, be reasonably certain of the dealer's behavior, as he is forced to play by certain rules, regardless of his instincts, superstitions, or desires. Most often, the rules require the dealer to stop taking hits when his hand reaches a total of seventeen or greater, and no sooner. Before the cards are dealt, it's possible to predict the chances that the dealer's hand will have the following outcomes.
Blackjack win percentage
All the totals for hands remain equal—so a player's 20 will beat a dealer's 19 equally as often as a dealer's 20 beats a player's 19, and the dealer will bust as often as the player while the other stands on a viable hand. The only remaining difference is that the dealer will bust of the instances in which the player busts—which is 33.15% likely to happen in 33.15% of the time, for a core odds value of 10.99% of all hands played.
17 | 18 | 19 | 20 | 21 | BUST |
---|---|---|---|---|---|
14.61% | 13.87% | 13.27% | 18.12% | 6.99% | 33.15% |
These odds are computed according to mathematical probabilities. More detailed information is available on the blackjack hand calculator post.
The outcome of the player's hand, meanwhile, will depend on the way his hands are played. If he chooses exactly the same course as the dealer, the outcome of his hands will be exactly the same as is shown above. If he plays according to a different set of rules, the results will be different, and by comparing the two tables, that player's individual likelihood of winning can be computed. If however, the player is erratic, and he chooses to play his hands differently each time with no predictable rationale, no mathematical model can be used to compute his chances of winning.
Determining the core odds
The 'core odds' of the game assume that the player will follow the house rules for hitting his hands. In this example, to stop taking hits when his hand reaches a total of seventeen or greater, and no sooner. In this case, all things seem to be equal, and the player should have a 50% chance of winning or losing each hand. This would be true only if the player's wager was returned the dealer busts his hand but one rule of the game that is never varied is that a player who busts loses his wager, even if the dealer busts afterward.
Again, the core odds shown here apply only to a player who strictly adheres to the same rules as the dealer in playing his hands, which is clearly not the best approach. The strategy section of this site will demonstrate a system that can virtually eliminate the house's advantage over the player—and the intermediate and advanced sections will turn the tables further in the player's advantage.