Question

what is the probability of rolling a three on the first die and an even number on the second die? write your answer as a fraction or a whole number. with fractions, use a slash (//) to separate the numerator and denominator.

Explanation:

Step1: Determine the probability of rolling a three on the first die

A standard die has 6 faces. The probability of rolling a three (1 favorable outcome) is \( \frac{1}{6} \).

Step2: Determine the probability of rolling an even number on the second die

The even numbers on a die are 2, 4, 6 (3 favorable outcomes). So the probability is \( \frac{3}{6}=\frac{1}{2} \).

Step3: Use the multiplication rule for independent events

Since the two die - rolls are independent events, the probability of both events occurring is the product of their individual probabilities. \( P=\frac{1}{6}\times\frac{1}{2} \).

Answer:

\( 1/12 \)