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Assuming you mean the sum of the two dice is a Prime number, then:

The possible outcomes are 2, 3, 5, 7, 11 which occur 1, 2, 4, 7, 2 times respectively.

There are 36 possible outcomes

→ pr(prime_sum) = (1+2+4+7+2)/36 = 16/36 = 4/9

If you mean that both dice must show a prime number, then:

The possible primes are 2, 3, 5 → probability of 1 die showing a prime number is 3/6 = ½

→ probability both show a prime number is ½ × ½ = ¼

If you mean either or both dice could show a prime number, then:

The possible primes are 2, 3, 5 → probability of 1 die showing a primes is 3/6 = ½

→ probability of a die not showing a prime is 1 - ½ = ½

→ probability of neither die showing a prime is ½ × ½ = ¼

→ probability of either or both dice show a prime is 1 - ¼ = ¾

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It is 0.25

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7y ago
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Q: What is the probability rolling prime numbers when rolling two dice?
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