Explanation:
The probability of rolling a 5 on one roll of a fair die is 1/6.
To find the probability of rolling at least one 5 in six rolls, we can use the complement rule: the probability of the event happening is 1 minus the probability of the event not happening. In this case, the event is rolling at least one 5, and the complement is rolling no 5s.
The probability of not rolling a 5 on one roll is 5/6. The probability of not rolling a 5 on six rolls is (5/6)^6, since the rolls are independent and we can multiply the probabilities together.
So the probability of rolling at least one 5 in six rolls is:
1 - (5/6)^6 ≈ 0.665
Therefore, the probability of obtaining a 5 on at least one of the six rolls is approximately 0.665, or 66.5%.