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With 3 fair dice, pipped 1 through 6, there are 10 permutations that add up to 6. They are 114, 123, 132, 142, 213, 222, 231, 312, 321, and 411. The total number of permutations of the three dice is 63 or 216. The probability, then, of rolling a sum of 6 on 3 dice is 10 in 216, or 5 in 108, or about 0.0463.
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What is the probability of not rolling sum of 6 with two fair dice?
The probability of not rolling a sum of six with two fair dice is 1 minus the probability of rolling a sum of six. There are 36 permutations of rolling two dice. Of these, five sum to six, 1+5, 2+4, 3+3, 4+2, and 5+1. The probability, then of rolling a sum of six is 5 in 36. The probability, then of not rolling a sum of six is 31 in 36, or about 0.8611.
What is the probability of rolling a sum of 15 on two fair dice?
Zero is the probability of rolling a sum of 15 on two fair dice; the maximum value is 12.
When two dice are rolled what is the probability of not getting a sum of 12?
The probability of rolling 12 with 2 dice is 1 in 36. The probability of not rolling 12 with 2 dice is 35 in 36.
What is the probability of rolling a sum of 8 when rolling two dice?
5 in 36
What is the probability of rolling a sum of 6 or less with two dice?
The probability is 1, if the dice are rolled often enough.
