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Three letters are dictated to three pers...

Three letters are dictated to three person and an envolopes 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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Three 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.

Three letters are written to three different persons and addresses on three envelopes are also written. Without looking at the addresses, what is the probability that (i) exactly one letter goes to the right envelopes (ii) none of the letters go into the right envelopes?

Knowledge Check

  • There are 4 letter and 4 envelopes. The probability that all the letters are put in same envelope

    A
    `(3)/(32)`
    B
    `(1)/(16)`
    C
    `(1)/(64)`
    D
    `((1)/(4))^(4)`

  • A letter is chosen at random from the letter of the word "PROBABILITY". Find the probability that is not a vowel.

    A
    `(1)/(5)`
    B
    `(2)/(5)`
    C
    `(1)/(3)`
    D
    `(3)/(5)`

  • A letter is chosen at random from the letter of the word "PROBABILITY". Find the probability that it is not a vowel.

    A
    `(1)/(5)`
    B
    `(2)/(3)`
    C
    `(1)/(3)`
    D
    `(3)/(5)`

    • Similar Questions

    Explore conceptually related problems

    There are 4 letters and 4 addressed envelopes. Find the probability that all the letters are not dispatched in right envelopes.

    There are n letters and n addressed envelopes. Find the probability that all the letters are not kept in the right envelope.

    If ten objects are distributed at random among ten persons, then find the probability that at least one of them will not get any object.

    Ten eggs are drawn successively with replacement from a lot containing 10% defective eggs. Find the probability that there is at least one defective egg.

    From the English alphabers one letter is chosen at random. What is the probability that it is a vowel?

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