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A committee of 4 students is selected at...

A committee of 4 students is selected at random from a grourp consisting of 8 boys and 4 girls. Given that there is at least one girl in the committee, calculate the probability that there are exactly 2 girls in the committee.

Text Solution

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The correct Answer is:
`(168)/(425)`
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Knowledge Check

  • A committee of 4 students is selected at random from a group consisting 8 boys and 4 girls. Given that there is atleast one girl on the committee, then the probability that there are exactly 2 girls on the committee is

    A
    `(68)/(125)`
    B
    `(56)/(165)`
    C
    `(63)/(625)`
    D
    `(168)/(425)`

  • A committee of 4 students is selected at random from a group consisting of 8 boys and 4 girls. If there is atleast one girl in the committee, then the probability that there are exactly 2 girls in the committee, is

    A
    `(7)/(99)`
    B
    `(13)/(99)`
    C
    `(14)/(99)`
    D
    None

  • From a group of 4 boys and 3 girls, candidates are arranged at random, one after the other, for an interview. The probability that the boys and girls alternate, is

    A
    `1//34`
    B
    `1//35`
    C
    `1//33`
    D
    `1//32`

    • Similar Questions

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    A committee of 5 Students is to be chosen from 6 boys and 4 girls. Find the probability that the committee contains exactly 2 girls.

    A committee of 4 boys and 3 girls is chosen from 8 boys and 5 girls. One of the boys is a brother of one of the girls. Probability that both are in the committee is

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