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On two fair 6-sided dice: 5 out of 36 = 13.89%. Consider the two dice unique. Maybe one is black with white spots, and the other is white with black spots. There are 36 possible outcomes. You can make a table of the sums, and see that five of the outcomes have a sum of 6. Here they are:
- 1+5, 2+4, 3+3, 4+2, 5+1
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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.
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 8 when rolling two dice?
5 in 36
What is the probability of rolling a 12 in a single roll of two dice?
The probability of rolling a sum of 12 in a single roll of two dice is 1 in 36, or about 0.0278.
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.
