Question 383967: a football team conists of 20 each freshmen and sophmores, 15 juniors, and 10 seniors. four players are selcted at random to serve as captain find the probability that
a. all 4 are seniors
b. there is 1 each
c. there are 2 soph and 2 freshman
d. at least 1 is a senior
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a football team conists of 20 each of freshmen and sophmores, 15 juniors, and 10 seniors. four players are selcted at random to serve as captain find the probability that
a. all 4 are seniors
Ans: 10C4/65C4
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b. there is 1 each
Ans: [20*20*15*10]/65C4 = 60,000/677040
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c. there are 2 soph and 2 freshman
[20C2*20C2]/[65C4]
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d. at least 1 is a senior
P(at least one senior) = 1-P(no senior) = 1 - [55C4/65C4]
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Cheers,
Stan H.
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