A football team consists of 15 freshmen and 15 sophomores, 14 juniors, and 14 seniors. Four players are selected at random to serve as captains. Find the probability that at least
1 of the students is a senior.
A) $\approx 0.3200$
B) $\approx 0.9999$
C) $\approx 0.0241$
D) $\approx 0.6800$

Question

A football team consists of 15 freshmen and 15 sophomores, 14 juniors, and 14 seniors. Four players are selected at random to serve as captains. Find the probability that at least
1 of the students is a senior. 
A) $\approx 0.3200$
B) $\approx 0.9999$
C) $\approx 0.0241$
D) $\approx 0.6800$

Quizplus · Accepted Answer

The probability of selecting at least one senior is 1 minus the probability of selecting no seniors. Calculate the probability of selecting 4 non-seniors from the 44 non-seniors and subtract from 1.

A Football Team Consists of 15 Freshmen and 15 Sophomores ≈0.3200\approx 0.3200≈0.3200

A Football Team Consists of 15 Freshmen and 15 Sophomores $\approx 0.3200$