you roll a 6 - sided die two times. what is the probability of rolling a number less than 4 and then rolling…

Explanation:

Step1: Calculate single - roll probability

The numbers less than 4 on a 6 - sided die are 1, 2, 3. So the probability of rolling a number less than 4 in a single roll is $\frac{3}{6}=\frac{1}{2}$.

Step2: Use multiplication rule for independent events

Since the two rolls of the die are independent events, the probability of both events occurring is the product of their individual probabilities. So the probability of rolling a number less than 4 on the first roll and then rolling a number less than 4 on the second roll is $\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.

Step3: Convert to percentage

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

Answer:

25%