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Two dice are tossed. The probability that the total score is a prime number is:

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Question: Two dice are tossed. The probability that the total score is a prime number is:

[A].

1
6

[B].

5
12

[C].

1
2

[D].

7
9

Answer: Option B

Explanation:

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) = 15 = 5 .
n(S) 36 12

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