Blackjack Probabilities Table
The odds against the player in blackjack do not change when an automatic shuffler is used to shuffle the multi-decks. If the casino were using, say, six decks of cards, they will usually deal about 65 to 80% of the cards and then reshuffle all six decks using the auto shuffler. Odds and probability in blackjack is a subject with endless ramifications. The most important concepts to understand are how to calculate probability, how to understand expected value, and how to quantify the house edge. Understanding the underlying probabilities in the game makes learning basic strategy and card counting techniques easier.
The Blackjack basic strategy chart is one of the most essential things for any blackjack player. As the strategy recommends only the best decisions from a mathematical point of view, the blackjack strategy chart is the table that contains all the solutions recommended by blackjack basic strategy. This, or any chart for other set of rules, is the most convenient way to consult the strategy each time you play.
The chart below is the one used for 4 decks or more with dealers standing on soft 17, you can see the detailed rules to the right of the chart. These are the most common blackjack rules, though you may find other variations of blackjack online and land blackjack casinos nowadays.
NB: If you are playing a game with other rules you can try our strategy generator that will help you find a strategy chart for any game you choose. You will be able to enter the rules of your game and get a unique chart based upon the game you are playing.
In order to use the chart below you can either print it (you will find the links for print versions below) or invent a system for memorizing it(read the article how to learn blackjack basic strategy). The best way of learning though, is of course by understanding the rules of basic strategy. The left vertical column stands for value of your hand while the top horizontal row represents the dealer’s up card. You will find the correct solution by lining up the column (your hand total) with the row (the dealer’s up card).
The Abbreviations stand for:
- H - Hit
- S - Stand
- DD - Double Down
- P - Split
- H/P - Split if you can double, otherwise hit
- H/R - Surrender if allowed, otherwise hit
- A - Ace
Blackjack Basic Strategy Chart
2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | A | |
---|---|---|---|---|---|---|---|---|---|---|
8 | H | H | H | H | H | H | H | H | H | H |
9 | H | DD | DD | DD | DD | H | H | H | H | H |
10 | DD | DD | DD | DD | DD | DD | DD | DD | H | H |
11 | DD | DD | DD | DD | DD | DD | DD | DD | DD | H |
12 | H | H | S | S | S | H | H | H | H | H |
13 | S | S | S | S | S | H | H | H | H | H |
14 | S | S | S | S | S | H | H | H | H | H |
15 | S | S | S | S | S | H | H | H | H/R | H |
16 | S | S | S | S | S | H | H | H/R | H/R | H/R |
17 | S | S | S | S | S | S | S | S | S | S |
A,2 | H | H | H | DD | DD | H | H | H | H | H |
A,3 | H | H | H | DD | DD | H | H | H | H | H |
A,4 | H | H | DD | DD | DD | H | H | H | H | H |
A,5 | H | H | DD | DD | DD | H | H | H | H | H |
A,6 | H | DD | DD | DD | DD | H | H | H | H | H |
A,7 | S | DD | DD | DD | DD | S | S | H | H | H |
A,8 | S | S | S | S | S | S | S | S | S | S |
A,9 | S | S | S | S | S | S | S | S | S | S |
2,2 | H/P | H/P | P | P | P | P | H | H | H | H |
3,3 | H/P | H/P | P | P | P | P | H | H | H | H |
4,4 | H | H | H | H/P | H/P | H | H | H | H | H |
5,5 | DD | DD | DD | DD | DD | DD | DD | DD | H | H |
6,6 | H/P | P | P | P | P | H | H | H | H | H |
7,7 | P | P | P | P | P | P | H | H | H | H |
8,8 | P | P | P | P | P | P | P | P | P | P |
9,9 | P | P | P | P | P | S | P | P | S | S |
10,10 | S | S | S | S | S | S | S | S | S | S |
A,A | P | P | P | P | P | P | P | P | P | P |
Set of rules for the chart:
- 4+ decks of cards
- Dealer stands on soft 17
- Doubling is allowed on any first 2 cards
- Surrendering allowed
- Doubling after split allowed
Strategy Chart Generator
The strategy generator is a special generator of strategy charts created by Blackjack Doc to help you get a chart for any game you play. Just input the rules to get the chart.
Choose the print version of blackjack basic strategy chart:
Color blackjack strategy chart:
Black and white strategy chart:
Table For Standard Normal Probabilities
It is a good idea to print the chart and place it close to your PC so you will be able to consult it each time you play. Another way is to buy a credit-card sized blackjack chart. You can take this with you to the game as some casinos allow using basic strategy chart.
You can also print out the blackjack cheat sheet provided at our site as it offers the most essential info on the game of blackjack.
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The Blackjack basic strategy chart is one of the most essential things for any blackjack player. As the strategy recommends only the best decisions from a mathematical point of view, the blackjack strategy chart is the table that contains all the solutions recommended by blackjack basic strategy. This, or any chart for other set of rules, is the most convenient way to consult the strategy each time you play.
The chart below is the one used for 4 decks or more with dealers standing on soft 17, you can see the detailed rules to the right of the chart. These are the most common blackjack rules, though you may find other variations of blackjack online and land blackjack casinos nowadays.
NB: If you are playing a game with other rules you can try our strategy generator that will help you find a strategy chart for any game you choose. You will be able to enter the rules of your game and get a unique chart based upon the game you are playing.
In order to use the chart below you can either print it (you will find the links for print versions below) or invent a system for memorizing it(read the article how to learn blackjack basic strategy). The best way of learning though, is of course by understanding the rules of basic strategy. The left vertical column stands for value of your hand while the top horizontal row represents the dealer’s up card. You will find the correct solution by lining up the column (your hand total) with the row (the dealer’s up card).
The Abbreviations stand for:
- H - Hit
- S - Stand
- DD - Double Down
- P - Split
- H/P - Split if you can double, otherwise hit
- H/R - Surrender if allowed, otherwise hit
- A - Ace
Blackjack Basic Strategy Chart
2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | A | |
---|---|---|---|---|---|---|---|---|---|---|
8 | H | H | H | H | H | H | H | H | H | H |
9 | H | DD | DD | DD | DD | H | H | H | H | H |
10 | DD | DD | DD | DD | DD | DD | DD | DD | H | H |
11 | DD | DD | DD | DD | DD | DD | DD | DD | DD | H |
12 | H | H | S | S | S | H | H | H | H | H |
13 | S | S | S | S | S | H | H | H | H | H |
14 | S | S | S | S | S | H | H | H | H | H |
15 | S | S | S | S | S | H | H | H | H/R | H |
16 | S | S | S | S | S | H | H | H/R | H/R | H/R |
17 | S | S | S | S | S | S | S | S | S | S |
A,2 | H | H | H | DD | DD | H | H | H | H | H |
A,3 | H | H | H | DD | DD | H | H | H | H | H |
A,4 | H | H | DD | DD | DD | H | H | H | H | H |
A,5 | H | H | DD | DD | DD | H | H | H | H | H |
A,6 | H | DD | DD | DD | DD | H | H | H | H | H |
A,7 | S | DD | DD | DD | DD | S | S | H | H | H |
A,8 | S | S | S | S | S | S | S | S | S | S |
A,9 | S | S | S | S | S | S | S | S | S | S |
2,2 | H/P | H/P | P | P | P | P | H | H | H | H |
3,3 | H/P | H/P | P | P | P | P | H | H | H | H |
4,4 | H | H | H | H/P | H/P | H | H | H | H | H |
5,5 | DD | DD | DD | DD | DD | DD | DD | DD | H | H |
6,6 | H/P | P | P | P | P | H | H | H | H | H |
7,7 | P | P | P | P | P | P | H | H | H | H |
8,8 | P | P | P | P | P | P | P | P | P | P |
9,9 | P | P | P | P | P | S | P | P | S | S |
10,10 | S | S | S | S | S | S | S | S | S | S |
A,A | P | P | P | P | P | P | P | P | P | P |
Set of rules for the chart:
Cumulative Binomial Probabilities Table
- 4+ decks of cards
- Dealer stands on soft 17
- Doubling is allowed on any first 2 cards
- Surrendering allowed
- Doubling after split allowed
Strategy Chart Generator
The strategy generator is a special generator of strategy charts created by Blackjack Doc to help you get a chart for any game you play. Just input the rules to get the chart.
Choose the print version of blackjack basic strategy chart:
Color blackjack strategy chart:
Black and white strategy chart:
It is a good idea to print the chart and place it close to your PC so you will be able to consult it each time you play. Another way is to buy a credit-card sized blackjack chart. You can take this with you to the game as some casinos allow using basic strategy chart.
You can also print out the blackjack cheat sheet provided at our site as it offers the most essential info on the game of blackjack.
TOP 3 US blackjack casinos
Red Stag Casino
Min. deposit:
$1 paysafecard - $25 credit cards
- 150
- Accepts US players
- Proven fair and secure by independent audits
- Toll-free phone and live chat support in US
Blackjack Probabilities Table Calculator
FairGo Casino
Min. deposit:
$20
- 171
- Table games galore
- Bitcoin payouts
- Accepts US players
Ignition Casino
Min. deposit:
$20
Chi Square Probabilities
- 28
Z Values And Probabilities Table
- Excellent bonuses
- Accepts US players
- Wide selection of games