SOCIETY OF ACTUARIES/CASUALTY ACTUARIAL SOCIETY
EXAM P
PROBABILITY
P SAMPLE EXAM QUESTIONS
Copyright 2009 by the Society of Actuaries and the Casualty Actuarial Society
Some of the questions in this study note are taken from past SOA/CAS examinations.
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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.
(A)
24
(B)
36
(C)
41
(D)
52
(E)
60
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2.
The probability that a visit to a primary care physician’s (PCP) office results in neither
lab work nor referral to a specialist is 35% .
Of those coming to a PCP’s office, 30%
are referred to specialists and 40% require lab work.
Determine the probability that a visit to a PCP’s office results in both lab work and
referral to a specialist.
(A)
0.05
(B)
0.12
(C)
0.18
(D)
0.25
(E)
0.35
3.
You are given P[A
∪
B] = 0.7 and P[A
∪
B
′
] = 0.9 .
Determine P[A] .
(A)
0.2
(B)
0.3
(C)
0.4
(D)
0.6
(E)
0.8
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