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JOYAL

  • 3 years ago

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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  1. sauravshakya
    • 3 years ago
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    1-1/(3*2*1)=5/6

  2. JOYAL
    • 3 years ago
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    the answer given is 2/3..

  3. sauravshakya
    • 3 years ago
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    oh yes

  4. sauravshakya
    • 3 years ago
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    It is 1- 2/(3*2*1) =1-1/3=2/3

  5. sauravshakya
    • 3 years ago
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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

  6. sauravshakya
    • 3 years ago
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    got it?

  7. JOYAL
    • 3 years ago
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    @sauravshakya how did u get the probabily of geeting none?

  8. sauravshakya
    • 3 years ago
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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

  9. JOYAL
    • 3 years ago
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    @sauravshakya thank u...

  10. sauravshakya
    • 3 years ago
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    welcome

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