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: Determine probability of first - roll

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

Step2: Determine probability of second - roll

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

Step3: Calculate combined probability

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

Step4: Convert to percentage

$\frac{1}{4}=0.25 = 25%$.