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Probability
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
1 2
3 4
3 8
5 16
Show Answer
Correct Answer:
3 4
Explanation:
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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