Question

12 girls and 19 boys (total 31) are running for 6 positions on the school's Graduation...

12 girls and 19 boys (total 31) are running for 6 positions on the school's Graduation Committee. 3 of the 12 girls are sisters and each candidate is equally likely chosen. Calculate the following:

a) What is the probability that all 3 sisters will be on the committee?

b)What is the probability that at least 1 of the sisters will be on the committee?

c)What is the probability that it will be an all boys committee?

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