Find the probability

Question

A six-sided die is rolled nine times. What is the probability that the die will show a 4 exactly 5 times?

Math Homework

Answer 1

Prob ( 4) = 3/36 = 1/12

(9 choose 4) (1/12)^4 ( 11/12)^5=

126 * 1/20736 * 161051/248832 =

0.00393280810725487254229538180155....

which is just under 0.4%