Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even ?

A. $\frac{3}{4}$

B. $\frac{1}{4}$

C. $\frac{7}{4}$

D. $\frac{1}{2}$

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Correct Answer : A.

Total number of cases =

6 \times 6 = 36

Favourable cases = [(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)] = 27
So Probability =

\frac{27}{36} = \frac{3}{4}

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