3. A school club consists of 20 male students and 11 female students. If 4 stude

Question

3. A school club consists of 20 male students and 11 female students. If 4 students are selected to represent the club in the student government, what is the probability 2 will be male and 2 will be female? Hint: Hypergeometric Answer. n = 4, a = 20, b = 11, a + b = 31, k = 2 . 3. A school club consists of 20 male students and 11 female students. If 4 students are selected to represent the club in the student government, what is the probability 2 will be male and 2 will be female? Hint: Hypergeometric Answer. n = 4, a = 20, b = 11, a + b = 31, k = 2 . 3. A school club consists of 20 male students and 11 female students. If 4 students are selected to represent the club in the student government, what is the probability 2 will be male and 2 will be female? Hint: Hypergeometric Answer. n = 4, a = 20, b = 11, a + b = 31, k = 2 .

Explanation / Answer

4 students from (20+11=) 31 students can be selected in 31C4 ways

2 male candidated from 20 eligible ones can be selected in 20C2 ways and

2 female candidates from 11 eligible ones can be selected in 11C2 ways

Hence total possible selection of 2 male and 2 female candidates is 20C2 * 11C2

Hence required probability is 20C2*11C2/31C4 = 0.3321

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