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Question
Select the correct option from the given alternatives :
Two dice are thrown simultaneously. Then the probability of getting two numbers whose product is even is
Options
`3/4`
`1/4`
`5/7`
`1/2`
Solution
`3/4`
Explanation;
Two dice are thrown.
∴ n(S) = 36.
Getting two numbers whose product is even, i.e., one of the two numbers must be even.
Let event A: Getting even number on first dice.
event B: Getting even number on second dice.
∴ n(A) = 18, n(B) = 18, n(A ∩ B) = 9
∴ Required probability = P(A ∩ B)
= `("n"("A") + "n"("B") - "n"("A" ∩ "B"))/("n"("S"))`
= `(18 + 18 - 9)/36`
= `27/36`
= `3/4`
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