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There are 5 letters and 5 addressed enve...

There are 5 letters and 5 addressed envelopes. If the letters are placed at random in the envelopes. Find the chance that
atleast one letter goes into wrong envelope.

Text Solution

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The correct Answer is:
`(119)/(120)`
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There are 5 letters and 5 addressed envelopes. If the letters are placed at random in the envelopes. Find the chance that exactly 3 letters go into correct envelopes.

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Knowledge Check

  • There are 5 letters and 5 addressed envelopes. If the letters are put at random in the envelopes, the probability that atleast one letter may be placed in wrongly addressed envelope is

    A
    `(119)/(120)`
    B
    `(120)/(343)`
    C
    `(1)/(1155)`
    D
    `(139)/(140)`

  • There are 5 letters and 5 addressed envelopes. If the letters are put at random in the envelopes , the probability that all the letters may be placed in wrongly addressed envelopes is

    A
    `119//120`
    B
    `1//120`
    C
    `11//30`
    D
    `11//120`

  • There are 6 letters and 6 addressed envelopes . If the letters are put at random in the envelopes , the probability that all the letters may be placed in wrongly addressed envelopes is

    A
    `119/120`
    B
    `1/120`
    C
    `125/144`
    D
    `11/120`

    • Similar Questions

    Explore conceptually related problems

    n different letters are placed in n different addressed envelopes at random. Find the probability that (i) no letter is placed in right envelope i.e., all the letters are placed in wrong envelopes. (ii) atleast one letter is placed in right envelope.

    A: There are 4 letters and 4 addressed envelopes. If the letters are put in the random in the envelopes , the probability that all the letters may be placed in wrongly addressed envelopes is 3//8 . R: If n letters are put at random in the n addressed envelopes , the probability that all the letters may be in wrong envelopes = 1- (1)/(1!) +(1)/(2!)-(1)/(3!)+.....+((-1)^(n))/(n!)

    If n letters are placed at random in n addressed envelops then the probability that all the letters are placed in correct envelops is

    Ravish writes letters to his five friends and addresses the corresponding envelopes. The number of ways can the letters be placed in the envelopes so that at least two of them are in the wrong envelopes is

    If 6 letters are placed at random in 6 addressed envelopes. Then the odds in favour of arranging them such that no letter goes into correct envelope is

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