You roll a 6-sided die two times.What is the probability of rolling a prime number and then rolling a factor of 8?Write your answer as a decimal.

First, let's identify the prime numbers and factors of 8 on a 6-sided die.

The prime numbers on a 6-sided die are 2, 3, and 5. So, there are 3 favorable outcomes for rolling a prime number.

The factors of 8 on a 6-sided die are 1, 2, and 4. So, there are 3 favorable outcomes for rolling a factor of 8.

The total number of outcomes when rolling a 6-sided die is 6.

The probability of each event happening is calculated by dividing the number of favorable outcomes by the total number of outcomes.

So, the probability of rolling a prime number is 3/6 = 0.5.

The probability of rolling a factor of 8 is also 3/6 = 0.5.

Since these are independent events, we multiply the probabilities together to find the overall probability.

So, the probability of rolling a prime number and then rolling a factor of 8 is 0.5 * 0.5 = 0.25.