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A committee of 5 people is to be selected from student council. Council has 6 boys and 7 girls. What is the probability that the committee will have at least 3 boys?

*** If you can show work that would be helpful (OPTIONAL)***


  • MATH - ,

    C(n,r)=n!/(r!(n-r)!)=n choose r
    Sample space: C(13,5)=1287

    ways to choose 0 boy
    =Choose 5 girls out of 7 and 0 boy out of 6

    ways to choose 1 boy:

    ways to choose 2 boys:

    ways to choose 3 boys:

    ways to choose 4 boys:

    ways to choose 5 boys:

    If you add them all up, they will total 1287 as required.

    Now make appropriate sums according to requirements and calculate probability.

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