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.

Explanation:

Step1: Find probability for one die

A die has 6 faces (1 - 6). Even numbers: 2, 4, 6 (3 numbers). Probability of even on one die: $\frac{3}{6}=\frac{1}{2}$.

Step2: Probability for two independent dice

Since the two dice rolls are independent, multiply the probabilities. So, $\frac{1}{2} \times \frac{1}{2}=\frac{1}{4}$.

Answer:

1/4