Pierre works 5 days a week. He has 12 shirts, 8 pants, 8 ties, and 4 jackets

Question:

Pierre works 5 days a week. He has 12 shirts, 8 pants, 8 ties, and 4 jackets that he can wear to work. Of these, 4 shirts, 3 nuts, 2 ties, and 2 jackets are blue. Each day he randomly selects one of each item to wear. Assume the selections are independent, and assume his butler launders his clothes every night so he has a full closet each morning.
a. What is the probability Pierre's entire outfit next Monday will be blue?
b. What is the probability Pierre will wear at least 1 entirely blue outfit during his next 5-day work week?
c. What is the probability that Pierre will wear entirely blue outfits on Monday and Friday while wearing outfits which are not entirely blue on Tuesday through Thursday?
d. What is the probability Pierre will wear an entirely blue outfit on exactly 2 of the 5 days next week?
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Introduction to Probability

ISBN: 978-0716771098

1st edition

Authors: Mark Daniel Ward, Ellen Gundlach

Question Posted: