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Calculating Dice Odds at the Craps TableCalculating Dice Odds at the Craps Table
All craps players need to know the odds of rolling the dice. In order to fully understand how good your chances are at winning, it is essential for you to understand just how often each dice roll shows up on the table. The reason the game is centered around the number 7 is simply because this number is rolled more than any other number. You better believe the casino has calculated the odds for every single roll of the dice, and knows how and what their advantage over the player is for every bet.
As you know, a die has six sides with six different values, and that two die are rolled every time. A good guess would be that since there are six different numbers on two die's then there would be twelve different possible outcomes of the roll. However, a closer look reveals there are thirty-six different possible outcomes of the dice roll. Since there are two die, the same number can be rolled in many different ways. Just like calculating the odds of playing a lottery, all different number combinations must be considered.
The way to go about calculating these various combinations is by starting at the low end of possible rolls. The lowest number on the dice is one. If both die were rolled as one's (snake eyes) the outcome would be 2. This is one possible roll. The next number up is a three. To determine how many times this can be rolled, do some simple math. There is only one equation that will produce this outcome: 2 + 1 = 3. Therefore, there are two different possible outcomes:
Die One = 1, Die Two = 2 Or Die One = 2, Die Two = 1
To further explain, let's use the number seven as a possible outcome. Simple math reveals the sum of 7 can be produced in three ways: 1 + 6, 2 + 5 and 3 + 4. Going one step further, to calculate the number of times these outcomes can be rolled, simply multiply the outcome by 2 (representing two die) and you have the value of six - There are six ways to roll the number 7 with two die. The combinations are shown here:
Die One = 1, Die Two = 6 Or Die One = 2, Die Two = 5 Or Die One = 3, Die Two = 4
Die One = 6, Die Two = 1 Or Die One = 5, Die Two = 2 Or Die One = 4, Die Two = 3
If we were to do the same for each roll outcome, we would see that the possible ways of rolling a 6 are the same as rolling an 8. Likewise, a 5 and 9 have equal chance of being rolled, as do a 4 and 10, 3 and 11 and 2 and 12.
Knowing this is important, for it will keep you in the know regarding what your payoffs may during any given wager. Remember, just because your winning bet depends on your point being rolled before a seven, does not mean those odds are the same for every point. Knowing this may just play a part if you have a choice of increasing your stake on a wager. To calculate the percentage of you chances at rolling a certain number, divide the number of possible outcomes by the number of total dice outcomes (36). For the number 7, this would show as 6/36 x 100% = 16.6%
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