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 two fours
A) .116
B).161
C) .002
D) .216

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 two successes (fours) in five trials (rolls), we calculate: P(X = 2) = (5 choose 2) * (1/6)^2 * (5/6)^3 = 10 * (1/36) * (125/216) = 0.161.

A Die Is Rolled Five Times and the Number of Fours