Pierre works five days a week. He has 12 shirts, 8 pants, 8ties, and 4 jackets that he can wear to work. Of these, 4 shirts, 3pants, 2 ties, and 2 jackets are blue. Each day he randomly selectsone of each item to wear. Assume the selections are independent,and assume his butler launders the clothes every night so he hasfull closet each morning.
- What is the probability pierres entire outfit next Monday willbe blue?
- What is the probability that Pierre will wear entirely blueoutfits on Monday and Friday while wearing outfits which are notentirely blue on Tuesday through Thursday.
- What is the probability that Pierre will wear entirely blueoutfits on Monday through Friday while wearing outfits which arenot entirely blue on Tuesday through Thursday?
- What is probability Pierre will wear an entirely blue outfit onexactly 2 of the 5 days next week?
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