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PS-Probability

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Intern
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PS-Probability [#permalink]

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New post 15 Jan 2009, 20:00
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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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Re: PS-Probability [#permalink]

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New post 16 Jan 2009, 04:01
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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   [#permalink] 16 Jan 2009, 04:01
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