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Probability

Q1: Two dice are tossed. The probability that the total score is a prime number is:

A
1
6

B
1
6

C
1
2

D
7
9

ANS:B -

1
6

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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