Question

A history class is comprised of 7 female and 10 male students. If the instructor of the class randomly chooses 7 students from the class for an oral exam, what is the probability that 4 female students and 3 male students will be selected? Round your answer to 3 decimal places.

Answer 1

The probability of choosing 4 female and 3 male students from 7 female students and 10 male students is 0.216.

oral exam are A history class is comprised of 7 females and 10 males. The instructor of the class want to take an So he randomly chooses 7 studentets from the class. Total students of the history class out of 17 can Hence randomly choosing 7 student be ways. 1H 19,448 Hlo! :. Randomly choosing 7 students from 17 students of the class can be done by 19, 448 ways. done by it cp it cx let E be a event which denote the selection of 7 students of comprises of 4 female students and 3 male students. Hence, choosing 4 female student out of 7 students and 3 male students out of 10 male students can be done by fundamental law of multiplication i.es 71 10! 41 31 3171 FC MC = = 4200 :: choosing 4 female students from 7 students and 3 male students from 10 male students is 4200 ways. As we know that favourable ways Probablity of an event = Total ways. 4200 =) PCE) - 79448 Conclusion: Probablity of choosing 4 female and 3 male from 17s tudents is 0.216. = 0.216