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Problem Solving (PS) | Re: If two die, each numbered one through five, are rolled, what is the

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Bunuel wrote:

If two die, each numbered one through five, are rolled, what is the probability that the sum of the two numbers will be prime?

A. 16/25
B. 11/25
C. 8/25
D. 7/25
E. 1/5


A prime sum can happen in the following ways:

A sum of 2: (1, 1)

A sum of 3: (1, 2) and (2, 1)

A sum of 5: (1, 4), (4, 1), (2, 3), and (3, 2)

A sum of 7: (2, 5), (5, 2), (3, 4), and (4, 3)

We observe that there are 11 favorable outcomes out of a total of 5 x 5 = 25 outcomes. Thus, the probability of a prime sum is 11/25.

Answer:
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