Question

Determine the probability, with four decimal places, that both rolls of a fair die result in a 3 when rolled two times.

Answer 1

The probability of both rolls of a fair die resulting in a 3 when rolled two times is 0.0278.

Step-by-step explanation:

To determine the probability that both rolls of a fair die result in a 3 when rolled two times, we need to calculate the probability of rolling a 3 on each roll and then multiply the two probabilities together.

The probability of rolling a 3 on each roll is 1/6, since there are six possible outcomes on a fair die and only one of them is a 3. So, the probability of rolling two 3s is (1/6) * (1/6) = 1/36.

Therefore, the probability is 0.0278 when rounded to four decimal places.