30.
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Two dice are tossed. The probability that the total score is a prime number is:
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Answer: Option B
Explanation:
Clearly, n(S) = (6 x 6) = 36.
Let E = Event that the sum is a prime number.
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= { (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) }
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n(E) = 15.
P(E) =
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n(E)
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=
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15
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=
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5
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.
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n(S)
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36
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12
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