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

Answer:

25%

Explanation:

Step1: Calculate probability of first - roll

On a 6 - sided die, even numbers are 2, 4, 6. So the probability of rolling an even number on the first roll is $P_1=\frac{3}{6}=\frac{1}{2}$.

Step2: Calculate probability of second - roll

On a 6 - sided die, odd numbers are 1, 3, 5. So the probability of rolling an odd number on the second roll is $P_2=\frac{3}{6}=\frac{1}{2}$.

Step3: Calculate combined probability

Since the two rolls are independent events, the probability of both events occurring is $P = P_1\times P_2=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.

Step4: Convert to percentage

To convert $\frac{1}{4}$ to a percentage, we calculate $\frac{1}{4}\times100% = 25%$.