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Given the scenario that this class is comprised of ten male students and eleven female students...

Given the scenario that this class is comprised of ten male students and eleven female students and you are part of a five-member team, how would you respond to the following? What is the probability (if you are a female) your team is composed of all females?

Math   Statistics-And-Probability   
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Answer #1

Total students in the class = 10 Males + 11 Females = 21

Probability = Favorable Outcomes/Total Outcomes

Favorable outcomes: All 5 members are females including me. This means that I am definitely part of the team, and the other 4 females are chosen out of 10 (As I am already in) in 10C4 = 210 ways

Total Outcomes = All 5 member teams of which I am a part of. The other 4 are chosen from 20 in 20C4 = 4845 ways

Therefore the required probability = 210/4845 = 42/969 = 14/323 = 0.0433

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