what is the probability of rolling a five on the first die and a six on the second die? write your answer as…

Explanation:

Step1: Probability of rolling a 5 on first die

A die has 6 faces. The probability of rolling a 5 on the first die is $\frac{1}{6}$ since there is 1 favorable outcome (rolling a 5) out of 6 possible outcomes.

Step2: Probability of rolling a 6 on second die

Similarly, the probability of rolling a 6 on the second die is $\frac{1}{6}$ as there is 1 favorable outcome (rolling a 6) 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 $P = \frac{1}{6}\times\frac{1}{6}=\frac{1}{36}$.

Answer:

$\frac{1}{36}$