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06 Nov 2011, 22:48
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
67% (01:32) correct
33%
(01:38)
wrong
based on 132
sessions
History
Date
Time
Result
Not Attempted Yet
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
A. 3/4
B. 1/5
C. 2/5
D. 1/2
E. 4/5
I chose 2) 1/5 which is wrong. I took the 20% ( who play the sport and join the band ).
06 Nov 2011, 23:12
Kudos
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This is the way to approach the question:
25% of the students join a band => 25% of the students either only join a band or both join a band and play sports
25% of the students play sports => 25% of the students either only play sports or both play sports and join a band
If a randomly selected student is a member of the band, then probability that the student also plays a sport = percentage of cases in which the student can do both/percentage of cases in which the student can just play sports or do both
=20%/25% = 4/5
The answer is therefore (E)
25% of the students join a band => 25% of the students either only join a band or both join a band and play sports
25% of the students play sports => 25% of the students either only play sports or both play sports and join a band
If a randomly selected student is a member of the band, then probability that the student also plays a sport = percentage of cases in which the student can do both/percentage of cases in which the student can just play sports or do both
=20%/25% = 4/5
The answer is therefore (E)
