you roll a 6 - sided die two times. what is the probability of rolling a 5 and then rolling a 3? write your…

Explanation:

Step1: Find probability of rolling a 5

The probability of rolling a 5 on a 6 - sided die is $\frac{1}{6}$ since there is 1 favorable outcome (rolling a 5) out of 6 possible outcomes.

Step2: Find probability of rolling a 3

The probability of rolling a 3 on a 6 - sided die is $\frac{1}{6}$ since there is 1 favorable outcome (rolling a 3) out of 6 possible outcomes.

Step3: Use multiplication rule for independent events

Since the two die - rolls are independent events, the probability of both events occurring is the product of their individual probabilities. So $P(5\text{ then }3)=\frac{1}{6}\times\frac{1}{6}=\frac{1}{36}$.

Answer:

$\frac{1}{36}$