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A man chooses an outfit from 3 different shirts, 2 different

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Manager
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Joined: 19 Aug 2007
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A man chooses an outfit from 3 different shirts, 2 different [#permalink] New post 23 Dec 2007, 22:53
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A man chooses an outfit from 3 different shirts, 2 different pairs of shoes, and 3 different pants. If he randomly selects 1 shirt, 1 pair of shoes, and 1 pair of pants each morning for 3 days, what is the probability that he wears the same pair of shoes each day, but that no other piece of clothing is repeated?

A) (1/3)^6 * (1/2)^3

B) (1/3)^6 * (1/2)

C) (1/3)^4

D) (1/3)^2 * (1/2)

E) 5 * (1/3)^2
Director
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Re: PS Probability [#permalink] New post 23 Dec 2007, 23:43
jimjohn wrote:
A man chooses an outfit from 3 different shirts, 2 different pairs of shoes, and 3 different pants. If he randomly selects 1 shirt, 1 pair of shoes, and 1 pair of pants each morning for 3 days, what is the probability that he wears the same pair of shoes each day, but that no other piece of clothing is repeated?

A) (1/3)^6 * (1/2)^3

B) (1/3)^6 * (1/2)

C) (1/3)^4

D) (1/3)^2 * (1/2)

E) 5 * (1/3)^2



It should be

(1/3)^2 * (1/2) + (1/2)^2

But none of the above matches! Urghhh....
Expert Post
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Concentration: Entrepreneurship, Other
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 [#permalink] New post 24 Dec 2007, 00:49
Expert's post
  [#permalink] 24 Dec 2007, 00:49
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