Question

If two different dice are rolled together, the probability of getting an even number on both dice, is:

• A. 1/36
• B. 1/2
• C. 1/6
• D. 1/4

Answer 1

The correct option is D

1/4

Possible outcomes on rolling the two dice are given below :
$\left\{\right(1,1),(1,2\left)\right(1,3),(1,4),(1,5),(1,6\left)\right(2,1),(2,2),(2,3),(2,4),(2,5),(2,6\left)\right(3,1),(3,2),(3,3),(3,4),(3,5),(3,6\left)\right(4,1),(4,2),(4,3),(4,4),(4,5),(4,6\left)\right(5,1),(5,2),(5,3),(5,4),(5,5),(5,6\left)\right(6,1),(6,2),(6,3),(6,4),(6,5),(6,6\left)\right\}$
Total number of outcomes = 36
Favourable outcomes are given below :
$\left\{\right(2,2),(2,4),(2,6),(4,2),(4,4),(4,6),(6,2),(6,4),(6,6\left)\right\}$
Total number of favourable outcomes = 9
$\therefore$ Probability of getting an even number on both dice = $\frac{Totalnumberoffavourableoutcomes}{Totalnumberofoutcomes}=\frac{9}{36}=\frac{1}{4}$
Hence, the correct option is D.