Clearly, n(S) = (6 x 6) = 36. Let E = Event that the sum is a prime number. Then E = { (1, 1), (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (4, 1), (4, 3), (5, 2), (5, 6), (6, 1), (6, 5) } ∴ n(E) = 15. ∴ P(E) = n(E)/n(S) = 15/36 = 5/12.
Two dice are tossed. The probability that the total score is a prime number is:
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