8/1/2022

Blackjack Calculator Probability

No one can deny that blackjack is so attractive to the gamblers because of its simplicity and the fact that here not only luck runs the show but much depends on your skills. Nevertheless, a lot of amateur gamblers playing blackjack take decisions based upon mere intuition. Unfortunately, with a strategy like that you will hardly become a long-term winner. We recommend you to play considering mathematical principles and be able to understand and use blackjack probability and blackjack odds.
First thing you need to know is that the casino always has an advantage. In most blackjack casinos the house advantage is 7-8%. The house gets this advantage by the dealer being the last player to act. When the dealer acts last, the player has already made the decision and could quite possibly bust before the dealer acts. Regardless of how favourable blackjack rules of the casino are, or how much the odds favor you, this one little detail always gives the house the edge. But this edge is significantly lower than in other casino games, and for this reason blackjack continues to be one of the most popular online casino games.
By using blackjack basic strategy, you can reduce the blackjack odds in favor of casino down to 0.5% but this is possible only if you use advanced card counting systems or at least basic blackjack strategy. You'll significantly increase your chance to beat the house if you remember as much as possible from this page.

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 chart shows your blackjack odds of busting with respect to your hand value.

Hand Value% Bust If You Hit
21100%
2092%
1985%
1877%
1769%
1662%
1558%
1456%
1339%
1231%
11 or Less0%

Blackjack Calculator Probability Distribution

Player Advantage vs. Dealer Up Card

Blackjack Outcome Calculator Here, you can estimate the probability of winning or losing a specified amount of money given betsize, number of hands and advantage percentage. To find your advantage at Basic Strategy, link to the Blackjack Advantage Calculator. To use this calculator, fill in the four boxes below and press the Calculate button. Blackjack Outcome Calculator Here, you can estimate the probability of winning or losing a specified amount of money given betsize, number of hands and advantage percentage. To find your advantage at Basic Strategy, link to the Blackjack Advantage Calculator. To use this calculator, fill in the four boxes below and press the Calculate button.

Blackjack Calculator Probability Rules

Blackjack calculator probability calculator

Blackjack Odds Calculator

This chart shows the chances of a dealer to bust with regard to the up card he has. Note that the dealer has the highest chance to go bust when he is showing a 5.
The third column shows the player advantage of using basic blackjack strategy, compared to each up card the dealer is showing.

Blackjack Calculator Probability Calculator

Dealer Up CardDealer Bust %Player Advantage % with Basic Strategy
235.30%9.8%
337.56%13.4%
440.28%18.0%
542.89%23.2%
642.08%23.9%
725.99%14.3%
823.86%5.4%
923.34%-4.3%
J,Q,K21.43%-16.9%
A11.65%-16.0%