From a group of 100 male students in a small city college, 60 play basketball, 50 play volleyball and 40 play football. 28 play basketball and volleyball, 24 play volleyball and football, 22 play basketball and football and 10 play all three sport. If a freshman is chosen at random from the group, find the probability that a) he plays volleyball and football but not basketball b) he does not play any of the three sports

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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From a group of 100 male students in a small city college, 60 play basketball, 50 play volleyball and 40 play football. 28 play basketball and volleyball, 24 play volleyball and football, 22 play basketball and football and 10 play all three sport. If a freshman is chosen at random from the group, find the probability that

a) he plays volleyball and football but not basketball
b) he does not play any of the three sports. 

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