Question

what is the probability of rolling even numbers on both dice? write your answer as a fraction or a whole number. with fractions, use a slash ( / ) to separate the numerator and denominator. save answer

Explanation:

Step1: Find probability of even on one die

A die has 6 sides, and 3 even - numbered sides (2, 4, 6). So the probability of rolling an even number on one die is $\frac{3}{6}=\frac{1}{2}$.

Step2: Use multiplication rule for independent events

The rolls of the two dice are independent events. The probability of two independent events A and B both occurring is $P(A)\times P(B)$. Here, $A$ is the event of getting an even number on the first die and $B$ is the event of getting an even number on the second die. So the probability of getting even numbers on both dice is $\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.

Answer:

1/4