Question
Two dice are thrown simultaneously . What is the probability of getting two numbers whose product is even ?
Answer: Option B
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In a simultaneous throw of two dice , we have n(S) = (6 x 6) = 36.
Let E = event of getting two numbers whose product is even .
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))/(n(S)) = 27/36 = 3/4`
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