We are asked to find the probability of rolling a number greater than 3 on a 6-sided die, and then rolling a number greater than 3 on the same 6-sided die. We must express the answer as a percentage.

1. Problem Description

We are asked to find the probability of rolling a number greater than 3 on a 6-sided die, and then rolling a number greater than 3 on the same 6-sided die. We must express the answer as a percentage.

2. Solution Steps

First, we need to determine the probability of rolling a number greater than 3 on a 6-sided die. The numbers greater than 3 are 4, 5, and

6. There are 3 such numbers. Since the die has 6 sides, the probability of rolling a number greater than 3 is $\frac{3}{6} = \frac{1}{2}$.

Since we are rolling the die two times, and the rolls are independent events, we multiply the probabilities together.

The probability of rolling a number greater than 3 on the first roll is $\frac{1}{2}$.

The probability of rolling a number greater than 3 on the second roll is $\frac{1}{2}$.

Therefore, the probability of rolling a number greater than 3 on both rolls is $\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$.

To express this probability as a percentage, we multiply by

1

0

0. $\frac{1}{4} \times 100 = 25\%$.

3. Final Answer

25%