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4/7/2022
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Blackjack Probabilities Table Average ratng: 6,3/10 6411 votes

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.

  1. Normal Probabilities Table
  2. Table Of Probability

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.

  1. 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.
  2. Most video blackjack machines only pay out even money on natural 21’s. Since in a live blackjack game at the tables you can expect a blackjack every 21 hands or so, this disadvantage of losing the bonus money loses an additional 2.3 percent to the house edge.

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 following tables display expected returns for any play in blackjack based on the following rules: dealer stands on a soft 17, an infinite deck, the player may double after a split, split up to three times except for aces, and draw only one card to split aces. Based on these rules, the player's expected value is -0.511734%. Blackjack Probability and Blackjack Odds. To fully understand the game of blackjack, you must. A probability table is a way of representing probabilities. The following probability table looks at the events ‘throwing a head on a fair 50p piece’ and ‘throwing a head on a fair £1 coin.’ You use the total probability of each event to work out the probability of each pair of events. Here’s how to.

The Abbreviations stand for:

Blackjack Probabilities Table
  • 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

2345678910A
8HHHHHHHHHH
9HDDDDDDDDHHHHH
10DDDDDDDDDDDDDDDDHH
11DDDDDDDDDDDDDDDDDDH
12HHSSSHHHHH
13SSSSSHHHHH
14SSSSSHHHHH
15SSSSSHHHH/RH
16SSSSSHHH/RH/RH/R
17SSSSSSSSSS
A,2HHHDDDDHHHHH
A,3HHHDDDDHHHHH
A,4HHDDDDDDHHHHH
A,5HHDDDDDDHHHHH
A,6HDDDDDDDDHHHHH
A,7SDDDDDDDDSSHHH
A,8SSSSSSSSSS
A,9SSSSSSSSSS
2,2H/PH/PPPPPHHHH
3,3H/PH/PPPPPHHHH
4,4HHHH/PH/PHHHHH
5,5DDDDDDDDDDDDDDDDHH
6,6H/PPPPPHHHHH
7,7PPPPPPHHHH
8,8PPPPPPPPPP
9,9PPPPPSPPSS
10,10SSSSSSSSSS
A,APPPPPPPPPP

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:

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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Normal Probabilities Table

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Chi square probabilities table

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