All possible outcomes: 2,3,4,5,6,7,8,9,10,11,12
All possible outcomes that are prime: 2,3,5,7,11
All possible rolls that are one of these prime numbers:
--1-2-3-4-5-6
1.*.*....*....*
2.*....*....*...
3....*....*......
4.*....*.........
5....*..........*
6.*..........*...
So we count 15 possible ways to make a Prime number.
P = (# of correct outcomes) / (# of total possible outcomes)
P = 15 / (6*6) = 0.416667 or 5/12
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The probability of rolling two prime numbers on a standard pair of dice is 1 in 4, or 0.25. Take the probability of rolling a prime on one die, 3 in 6, or 1 in 2, or 0.5, and square it.
For 6 sided dice, there is only 1 way to get a 2: (1,1). There are 36 outcomes rolling 2 dice; so the probability of rolling two numbers whose sum is 2 is 1/36.
The probability is 1 out of two. The primes you can roll are 2,3, and 5.
The probability of rolling doubles with two dice is 1 in 6, or about 0.167.
The probability is 11/36.