Suppose that 8 female and 7 male applicants have been successfully screened for

Question

Suppose that 8 female and 7 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 15 finalists, what is the probability of selecting at least 4 females? (Type an integer or a simplified fraction) Suppose that 8 female and 7 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 15 finalists, what is the probability of selecting at least 4 females? (Type an integer or a simplified fraction)

Explanation / Answer

Suppose that 8 female and 7 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 15 finalists, what is the probability of selecting at least 4 females? (Type an integer or a simplified fraction)

P(4 fem , 1 male) = (8C4 * 7C1) / (15C5 = 490 / 3003

P(5 fem , 0 male) = 8C5 / 15C5 = 56 / 3003

P(atleast 4 females) = 490/3003 + 56/3003 = 546/3003 ---> 2/11

Answer ---> 2/11

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