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Dice terms and probability

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dice2While the terms ace, deuce, trey, cater, cinque and sice are hardly common today having been replaced with the ordinary names of the numbers one to six, they are still used by some professional gamblers to describe the different sides of the dice. Ace is from the Latin as, meaning “a unit”; the others are the numbers 2–6 in old French.

Probability

For a single roll, the probability of rolling each value, 1 through 6, is exactly 1 in 6. For a double roll, however, the total of both rolls is not evenly distributed, but is distributed in a triangular curve, as follows:

Total of Dice
2
3
4
5
6
7
8
9
10
11
12
Probability
1/36
2/36
3/36
4/36
5/36
6/36
5/36
4/36
3/36
2/36
1/36

For the total of rolls of three or more dice, the curve becomes more bell-shaped with each additional die (according to the central limit theorem).

The probability of rolling the same random number repeatedly goes down by 1/6 with each additional die:

No. of Dice
1
2
3
4
Probability
1/6
1/36
1/216
1/1296

The above list only applies if the number to throw multiple times in a row is randomly chosen. To throw a certain chosen number more than once in a row, the probability is lower:

No. of Dice
2*’X’
3*’X’
4*’X’
5*’X’
Probability
1/36
1/216
1/1296
1/7776

Licensed under the GNU Free Documentation License. It uses materials from the Wikipedia.

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