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Probability

Q1: Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

A
1
2

B
3
4

C
3
8

D
5
16

ANS:B -

3
4

In a simultaneous throw of two dice, we have n(S) = (6 x 6) = 36.

Then, E = {(1, 2), (1, 4), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 2), (3, 4),
     (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 2), (5, 4), (5, 6), (6, 1),
     (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}
n(E) = 27.
P(E) = n(E) = 27 = 3 .
n(S) 36 4



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