A fair die is rolled 5 times. What is the probability that a 5 is obtained on at least one of the rolls? Round your answer to three decimal places.

Explanation:

The probability of rolling a "5" is 1/6 since there's one side we want out of 6 total. The probability of not rolling "5" is 5/6.

The probability of rolling something other than 5, and doing so 5 times in a row, is:  (5/6)^5 = 0.40188 which is approximate

Subtract this from 1 to get the final answer

1 - 0.40188

0.59812

Rounding to three places gets us 0.598

We subtracted from 1 because P(A)+P(B) = 1 leads to P(B) = 1 - P(A)

A = event of not rolling a 5

B = event of rolling a 5

The events A and B are complementary.

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