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- anonymous

3 letters are dictated to 3 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 1 letter.Find the probability that at least 1 letter is in its proper envelope?

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- anonymous

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- anonymous

1-1/(3*2*1)=5/6

- anonymous

the answer given is 2/3..

- anonymous

oh yes

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- anonymous

It is
1- 2/(3*2*1) =1-1/3=2/3

- anonymous

probability that at least 1 letter is in its proper envelope= 1- probability that none of the letter is in its proper envelop= 1- 2/(3*2*1) =2/3

- anonymous

got it?

- anonymous

@sauravshakya how did u get the probabily of geeting none?

- anonymous

No. of ways that none of the letter goes in its proper=2
Total no. of ways letter can be put in the enelope=3*2*1

- anonymous

@sauravshakya thank u...

- anonymous

welcome

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