The Craps Probability Calculator is a valuable tool designed to help players understand the likelihood of various outcomes in the game of craps. By inputting the probabilities of rolling specific sums with two six-sided dice, users can calculate the probabilities of winning or losing on the first roll, as well as the probabilities of establishing a point and either winning or losing thereafter.
Formula o Craps Probability Calculator
The calculator employs the following formulas:
- Win on first roll:
P(Win) = P(7) + P(11) - Lose on first roll:
P(Lose) = P(2) + P(3) + P(12) - Establish point and win:
P(Establish Point and Win) = P(Point) * P(Win) - Establish point and lose:
P(Establish Point and Lose) = P(Point) * P(Lose)
Where:
P(n)represents the probability of rolling a sum ofnwith two six-sided dice.P(2) = 1/36P(3) = 2/36P(4) = 3/36P(5) = 4/36P(6) = 5/36P(7) = 6/36P(8) = 5/36P(9) = 4/36P(10) = 3/36P(11) = 2/36P(12) = 1/36
General Terms Table
| Term | Description |
|---|---|
| Point | The number established on the first roll other than 2, 3, 7, 11, or 12. |
| Win | Rolling a sum of 7 or 11 on the first roll. |
| Lose | Rolling a sum of 2, 3, or 12 on the first roll. |
| Establish Point | Setting a point on the first roll and subsequently rolling that point again before rolling a 7. |
| Probability | The likelihood of a specific outcome occurring, represented as a decimal or fraction. |
Example of Craps Probability Calculator
Let’s illustrate the usage of the Craps Probability Calculator with an example scenario:
Suppose we want to calculate the probabilities of winning or losing on the first roll given the following probabilities:
- P(7)=0.17
- P(11)=0.08
- P(2)=0.03
- P(3)=0.06
- P(12)=0.03
Using the calculator, we can input these probabilities and obtain the results for winning on the first roll, losing on the first roll, establishing a point and winning, and establishing a point and losing.
Most Common FAQs
The Craps Probability Calculator is a tool use to determine the likelihood of various outcomes in the game of craps.
The calculator uses probabilities of rolling specific sums with two six-sided dice to calculate the probabilities of winning or losing on the first roll, as well as the probabilities of establishing a point and either winning or losing thereafter.
Users need to input the probabilities of rolling sums of 2, 3, 7, 11, and 12 with two six-sided dice.
The probabilities are adjustable based on the user’s analysis or strategy.
Yes, the calculator provides valuable insights that can be applied in real-life craps games to make informed decisions.