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

what is the probability of rolling a four on the first die and a five on the second die? write your answer as a fraction or a whole number. with fractions, use a slash ( / ) to separate the numerator and denominator.

what is the probability of rolling a four on the first die and a five on the second die? write your answer as a fraction or a whole number. with fractions, use a slash ( / ) to separate the numerator and denominator.

Answer

Explanation:

Step1: Determine single - die probabilities

A die has 6 sides. The probability of rolling a 4 on the first die is $\frac{1}{6}$ since there is 1 favorable outcome (rolling a 4) out of 6 possible outcomes. The probability of rolling a 5 on the second die is also $\frac{1}{6}$ as there is 1 favorable outcome (rolling a 5) out of 6 possible outcomes.

Step2: Use the 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:

$\frac{1}{36}$