Question:
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
[A].
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 |
Answer: Option B
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 |