Blackjack Probability Chart
Posted : admin On 7/22/2022No 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 and Blackjack Odds. To fully understand the game of blackjack, you must.
- Learn how to read a blackjack strategy chart and find examples of a 4 deck black jack strategy charts to use while playing online blackjack games.
- Suppose that you are playing blackjack against the dealer. In a freshly shuffled deck (standard $52$ cards), what is the probability that neither of you are dealt a blackjack. Blackjack being $2$ c.
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 |
| 21 | 100% |
| 20 | 92% |
| 19 | 85% |
| 18 | 77% |
| 17 | 69% |
| 16 | 62% |
| 15 | 58% |
| 14 | 56% |
| 13 | 39% |
| 12 | 31% |
| 11 or Less | 0% |
Blackjack Probability Chart
Player Advantage vs. Dealer Up Card
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.
Odds Of Getting Blackjack
| 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% |
Chances Of Winning Blackjack
Probability of Blackjack
Content Page
Page
Statement of task 2
Introduction 3 - 4
Data collection 5 - 6
The four Blackjack strategies 7 - 15
Conclusion 16
Bibliography 17
Statement of Task
This project aims to investigate how mathematics works in one of the most popular card games in the world - Blackjack. It examines the probability in the Blackjack and how the use of mathematics can be…show more content…
Blackjack strategies
Strategy I Hit when the sum of the first two cards is less than the dealer’s upcard
Let x be the player’s sum of card values of the first two cards.
Let D be the dealer’s upcard(the second card).
If x < D, the player should always hit.
When x < D, it is obvious that x must be less than the dealer’s final value (covered card + upcard), given that the sum of the first two cards of the dealer is[pic]- no busting. Therefore, under this situation, the player must hit. Otherwise, his probability of winning is 0.
Strategy II Hit or Stand
If the hard total is 11 or less, the player should always hit. This is because no matter what card the player is getting, the total hand value will not exceed 21. By using the Hit ot Stand strategy, the house edge can be cut to as low as 2%.[1] Fig. 1 is the decision making chart when using this strategy.
Card A 2 3 4 5 6 7 8 9 10 J Q K Real value 1 11 2 3 4 5 6 7 8 9 10 10 10 10 A 1 2 12 3 4 5 6 7 8 9 10 11 11 11 11 11 12 22 13 14 15 16 17 18 19 20 21 21 21 21 2 2 3 13 4 5 6 7 8 9 10 11 12 12 12 12 3 3 4 14 5 6 7 8 9 10 11 12 13 13 13 13 4 4 5 15 6 7 8 9 10 11 12 13 14 14 14 14 5 5 6 16 7 8 9 10 11 12 13 14