Question

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

• A. $1$
• B. $\frac{1}{2}$
• C. $\frac{4}{3}$
• D. $\frac{3}{4}$

Answer 1

The correct option is D $\frac{3}{4}$

Total number of outcomes = 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) and (6,6) = 27

So, the probability of getting two numbers whose product is even $=\frac{27}{36}=\frac{3}{4}$