JOYAL
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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sauravshakya
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1-1/(3*2*1)=5/6
JOYAL
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the answer given is 2/3..
sauravshakya
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oh yes
sauravshakya
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It is
1- 2/(3*2*1) =1-1/3=2/3
sauravshakya
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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
sauravshakya
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got it?
JOYAL
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@sauravshakya how did u get the probabily of geeting none?
sauravshakya
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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
JOYAL
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@sauravshakya thank u...
sauravshakya
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welcome