A die is rolled five times and the number of fours that come up is tallied. Find the probability of getting the given result.
-Exactly four fours
A) .116
B) .003
C) .402
D) .004

Question

Quizplus · Accepted Answer

The probability of rolling a four on a single die roll is 1/6. The probability of not rolling a four is 5/6. Using the binomial probability formula for exactly four successes (fours) in five trials (rolls), the probability is calculated as: C(5,4) * (1/6)^4 * (5/6)^1 = 5 * (1/1296) * (5/6) = 0.003.

A Die Is Rolled Five Times and the Number of Fours