125 sports fans were interviwed and asked what types of sport they have been to in the last year from a choice of soccer (S), rugby (R), or baseball (B). The following information was obtained.  74 had been to soccer.  36 had been to rugby. 66 had been to baseball. 20 had been to soccer and rugby. 27 had been to soccer and basketball. 24 had been to rugby and baseball. 15 had been to all three types of sport. a) draw a venn diagram to show the above information. b) find the number of sports fans who, in the last year, had been to: i) basketball only ii) both rugby and baseball but not soccer. iii) at least 2 types of sport iv) none of the three

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.1: Sets
Problem 87E
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125 sports fans were interviwed and asked what types of sport they have been to in the last year from a choice of soccer (S), rugby (R), or baseball (B). The following information was obtained. 

74 had been to soccer. 

36 had been to rugby.

66 had been to baseball.

20 had been to soccer and rugby.

27 had been to soccer and basketball.

24 had been to rugby and baseball.

15 had been to all three types of sport.

a) draw a venn diagram to show the above information.

b) find the number of sports fans who, in the last year, had been to:

i) basketball only

ii) both rugby and baseball but not soccer.

iii) at least 2 types of sport

iv) none of the three

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