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A football team consists of 12 each freshmen and sophomores, 16 juniors, and 13 seniors. Four
players are selected at random to serve as captains. Find the probability of the following. Enter
you answers as fractions or as decimals rounded to 4 decimal places.
At least 1 of the students is a senior.
P (at least 1 of the students is a senior)= ?
Solution
There are 41C4 = 101270 ways to get 4 players.
Note that
P(at least one senior) = 1 - P(no senior)
There are 28C4 = 20475 was to get 4 players without a senior.
Thus,
P(no senior) = 20475/101270 = 0.202182285
Thus,
P(at least one senior) = 0.797817715 [answer]

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A football team consists of 12 each freshmen and sophomores, 16 juni.pdf

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