what is the probability of rolling a three on the first die and a two on the second die? write your answer…

Explanation:

Step1: Probability of rolling 3 on first die

A die has 6 faces. The probability of rolling a 3 on the first die is $\frac{1}{6}$ since there is 1 favorable outcome (rolling a 3) out of 6 possible outcomes.

Step2: Probability of rolling 2 on second die

Similarly, the probability of rolling a 2 on the second die is $\frac{1}{6}$ as there is 1 favorable outcome (rolling a 2) out of 6 possible outcomes.

Step3: Use multiplication rule for independent events

Since the rolls of the two dice are independent events, the probability of both events occurring is the product of their individual probabilities. So we multiply $\frac{1}{6}\times\frac{1}{6}$. $\frac{1}{6}\times\frac{1}{6}=\frac{1\times1}{6\times6}=\frac{1}{36}$

Answer:

$\frac{1}{36}$