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# PS-Probability

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Intern
Joined: 23 May 2007
Posts: 6

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15 Jan 2009, 21:00
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Becky is trying to send 4 different letters to 4 different people, and she has prepared 4 envelopes with different addresses on them. If the letters are inserted into the envelopes randomly, what is the probability that only 1 of 4 letters will be inserted into the correct envelope?

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Manager
Status: Stanford GSB
Joined: 02 Jun 2008
Posts: 89

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16 Jan 2009, 05:01
1
One letter has gone in the right envelope.

3 letters and 3 envelops left.
The chance of the second letter to be in the wrong envelop= 2/3
The chance of the third letter to be in the wrong envelop= 1/2
tThe chance of the fourth letter to be in the wrong envelop= 1/1

(2/3)(1/2)(1/1) = 1/3.

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Re: PS-Probability &nbs [#permalink] 16 Jan 2009, 05:01
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# PS-Probability

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