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

what is the probability of rolling a six 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 six 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

Answer:

1/36

Explanation:

Step1: Probability of first - die result

The probability of rolling a six on the first die is 1 out of 6 since there are 6 possible outcomes (1, 2, 3, 4, 5, 6) and only 1 favorable outcome. So $P(\text{first - die}=6)=\frac{1}{6}$.

Step2: Probability of second - die result

The probability of rolling a five on the second die is 1 out of 6 since there are 6 possible outcomes and only 1 favorable outcome. So $P(\text{second - die}=5)=\frac{1}{6}$.

Step3: Probability of compound event

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