shinna wrote:
At a certain school 25% of the students join a band, 25% play a sport and 20% both join the band and play a sport. if a randomly selected student is a member of the band, what is the probability that the student also plays a sport?
A. 3/4
B. 1/5
C. 2/5
D. 1/2
E. 4/5
We can let the number of students = 100.
We know that 25 join the band, 25 play a sport and 20 do both.
We are told that a randomly selected student is a band member, so we consider only the 25 students who are band members. Of those 25, we know that 20 play a sport. Thus, the probability that a student plays a sport, given that he joins a band is 20/25 = 4/5.
Answer: E
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