anonymous
  • 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?
Probability
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
1-1/(3*2*1)=5/6
anonymous
  • anonymous
the answer given is 2/3..
anonymous
  • anonymous
oh yes

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anonymous
  • anonymous
It is 1- 2/(3*2*1) =1-1/3=2/3
anonymous
  • 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
  • anonymous
got it?
anonymous
  • anonymous
@sauravshakya how did u get the probabily of geeting none?
anonymous
  • 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
  • anonymous
@sauravshakya thank u...
anonymous
  • anonymous
welcome

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