The probability is 11/36.
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The probability of rolling doubles with two dice is 1 in 6, or about 0.167.
1/6
The probability is 1 out of two. The primes you can roll are 2,3, and 5.
The probability of rolling a sum of 8 and doubles when rolling two dice is 1 in 36, or about 0.02778. Simply note that there are 36 permutations of two dice, of which exactly one of them (a 4 and a 4) matches the conditions specified.
The probability is 1.