Question

If two 6-sided dice are rolled what is the probability that both numbers will be even?A. 17/36B. 1/2C. 19/36D. 1/4

Answer 1

Solution:

Given:

When two 6-sided dice are rolled, the outcome is given below;

There are 36 total outcomes.

The outcomes that are both even are marked below;

There are 9 outcomes that will be both even.

Thus, the probability of both numbers even is;

$\begin{gathered} Probability=\frac{number\text{ of required outcomes}}{number\text{ of total outcomes}} \\ P(both\text{ even\rparen}=\frac{9}{36} \\ P(both\text{ even\rparen}=\frac{1}{4} \end{gathered}$

Therefore, the correct answer is OPTION D.