Probability question

timer Asked: Oct 6th, 2015

Question description

a survey of 105 college students was taken to determine the musical styles they liked. of those, 40 students listened to rock, 35 to classical, and 33 to jazz. 18 students listened to rock and jazz, 18 to rock and classical, and 8 to classical and jazz. finally, 5 students listened to all three.
1. how many listened to only rock
2. how many listened to classical and jazz but not rock
3. how many listened to classical or jazz but not rock
4. how many listened to music in exactly one of the musical styles?
5. how many listened to music in exactly two of the musical styles
6. how many did not listen to any of the musical styles

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