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Three letters are dictated to three p...

Three letters are dictated to three persons and an envelope is addressed to each of them, the letters are inserted into the envelopes at random so that each envelope contains exactly one letter. Find the probability that at least one letter is in

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No. of ways to insert 3 letters into 3 envelops
`=|__3=6`
The letter an envelopes can be arrange in the following manners.

Here in I,II,III,VI methods, at least one letter is in proper envelope.
`:. ` No. of ways to arrange at least one letter in correct envelope `=4`
`:.` Probability that atleast one letter is in correct envelope
`=4/6=2/3`
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