Question 1081710: A football team consists of 14 each freshmen and sophomores, 13 juniors, and 10 seniors. Four players are selected at random to serve as captain. Find the probability:
a) All four are seniors
b)there is one each: freshman, sophomore, junior, senior
c)there are two sophomores and 2 freshmen
d) at least one student is a senior
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! 51 players
number of choices is 51C4=249,900
seniors is 10C4=210, so probability is 0.0008
1 of each: 14C1*14C1*13C1*10C1=25480 for probability of 0.1020
14C2*14C2=91*91=8281 for probability of 0.0331
at least 1 is a senior means 1- no seniors
That is 41C4, the number of other players/51C4=0.4052
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