試題詳解

312. An actuary determines the following regarding an individual auto policyholder:
i) The probability that the auto policyholder will file a medical claim is 0.30.
ii) The probability that the auto policyholder will file a property claim is 0.42.
iii) The probability that the auto policyholder will file a medical claim or a property claim is 0.60.

Calculate the probability that the auto policyholder will file exactly one type of claim, given that the policyholder will not file both types of claims.
(A) 0.45
(B) 0.48
(C) 0.52
(D) 0.55
(E) 0.60