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There letters are dictated to three pers...

There 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 its proper envelope.

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The correct Answer is:
`2/3`
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Knowledge Check

  • A person writes 4 letters and addresses on 4 covers. If these letters are inserted in covers randomly then ....... is the probability that all letters are not in proper cover.

    A
    `(1)/(4)`
    B
    `(11)/(24)`
    C
    `(15)/(24)`
    D
    `(23)/(24)`

  • when four letters are inserted in to four covers (one in each ) A = event that only one letters goes to the proper cover . B = event that exactly three letters go to the proper covers . C= event that ll letters go to proper covers and then ...... is true

    A
    `p to A , q to c , r to b`
    B
    `p to c, q to a, r to b `
    C
    `p to c, q to a ,r to a`
    D
    `p to b, q to a , r to c`

  • when four letters are inserted in to four covers (one in each ) A = event that only on letters goes to the proper cover . B = event that exactly three letters go to the proper covers . C= event that ll letters go to proper covers and then ...... is true

    A
    `p to A , q to c , r to b`
    B
    `p to c, q to a, r to b `
    C
    `p to c, q to a ,r to a`
    D
    `p to b, q to a , r to c`

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