Exam P Example One Jaime R. Sandoval Candidate Actuary Actuary Science June 23, 2015 1. A survey of a group’s viewing habits over the last year revealed the following 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 sports Calculate the percentage of the group that watched none of the three sports during the last year. Solution U G B S 28% watched gymnastics 1
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.
