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`

Answer 1

`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`