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.

What is the probability that after two picks, Sarah has two beads that are the same colour? This is depicted in the diagram by the two lines that branch out. This calculator simulates urn or box with colored balls often used for probability problems and can calculate probabilities of different events. Blackjack Bankroll Calculator This screen can be used to calculate your bankroll needs given a desired risk of ruin. Here, risk of ruin is defined as the probability that you will go bankrupt within a specified number of hands. There are five variables. The bust probability is calculated by dividing the number of Dealer's busted hands to the total possible blackjack actions. Blackjack actionsis a parameter that counts everything: Busted hands, pat hands (17 to 21), blackjack hands, and draws or hits to the first 2-card hands (incomplete hands). The software does NOT print the incomplete bj hands. This calculator returns the chance of a winning or losing streak. Enter the number of hands/games, length of the streak, and probability of a single win/loss; then click calculate. For example, if you wanted to check the chance of 20 losses in a row, in 1000 hands of blackjack, you would enter hands = 1000, streak = 20, and probability = 0.48. Blackjack Bankroll Calculator This screen can be used to calculate your bankroll needs given a desired risk of ruin. Here, risk of ruin is defined as the probability that you will go bankrupt within a specified number of hands. There are five variables.

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% |

## Player Advantage vs. Dealer Up Card

## Probability In Blackjack

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 Formula

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% |