Exam P Example One

Jaime R. SandovalCandidate ActuaryActuary Science

June 23, 2015

1. A survey of a groups viewing habits over the last year revealed thefollowing information:(i) 28% watched gymnastics(ii) 29% watched baseball(iii) 19% watched soccer(iv) 14% watched gymnastics and baseball(v) 12% watched baseball and soccer(vi) 10% watched gymnastics and soccer(vii) 8% watched all three sportsCalculate the percentage of the group that watched none of the three sportsduring the last year.

Solution

U

G B

S28% watched gymnastics

1

UG B

S29% watched baseball

U

G B

S19% watched soccer

U

G B

S14% watched gymnastics and baseball

U

G B

S12% watched baseball and soccer

2

UG B

S10% watched gymnastics and soccer

U

G B

S8% watched all three sports

But U=P(GYBYS)+ P[(GYBYS)]c and we know that the entire dia-gram must equal 1.

Therefore, 1-P(GYBYS)= P[(GYBYS)]c

U

G B

S

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