A die is rolled twice. What is the probability of showing a 5 on the first roll and an even number on the second roll?Write your answer as a simplified fraction.

The probability of a single event occurring is calculated by dividing the number of successful outcomes by the total number of outcomes.

1. A die has 6 faces, so the total number of outcomes when you roll a die is 6.

2. The number 5 is only one of the 6 faces, so the number of successful outcomes for rolling a 5 is 1. Therefore, the probability of rolling a 5 is 1/6.

3. An even number on a die can be 2, 4, or 6. So, there are 3 successful outcomes for rolling an even number. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2.

4. The probability of two independent events both occurring is the product of their individual probabilities. So, the probability of rolling a 5 on the first roll and an even number on the second roll is (1/6) * (1/2) = 1/12.