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Suppose that 7 female and 6 male applicants have been successfully screened for 5 positions. If...

Suppose that 7 female and 6 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 13 ​finalists, what is the probability of selecting no​ females?

Math   Statistics-And-Probability   
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Answer #1

solution:

the given information as follows;

number of male finalist = 6

number of female finalist = 7

total finalist =   13

number of ways of selecting 5 candidate out of total 13 =

we have to find the probability of selecting no females

so number of ways 5 male out of 6 male can be selected is =

so probability of selecting 5 if there are no female = 6 / 1287 = 0.0047

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