you roll a 6 - sided die two times. what is the probability of rolling a prime number and then rolling a…

Answer:

25%

Explanation:

Step1: Identify prime numbers on die

Prime numbers on 6 - sided die are 2, 3, 5. So 3 prime numbers out of 6.

Step2: Calculate probability of first roll

Probability of rolling prime on first roll is $\frac{3}{6}=\frac{1}{2}$.

Step3: Calculate probability of second roll

Since rolls are independent, probability of rolling prime on second roll is also $\frac{3}{6}=\frac{1}{2}$.

Step4: Calculate combined probability

Using multiplication rule for independent events, $P=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.

Step5: Convert to percentage

$\frac{1}{4}\times100% = 25%$.