Question

Two dice are thrown together. The probability of the sum of the numbers that appear on the two faces that is divisible by either 4 or 6 is .

• A. $\frac{1}{9}$
• B. $\frac{1}{6}$
• C. $\frac{7}{18}$

Answer 1

The correct option is C $\frac{7}{18}$

When two dice are rolled, the total number of outcomes:

The event described is the sum of the numbers on the two faces that is divisible by 4 or 6. The sample space will be:


So, total number of favorable outcomes = 14
Total number of outcomes = 36

We know:
$\text{Probability of an event}=\frac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}$

So, probability of the event:
$=\frac{14}{36}=\frac{7}{18}$