313. The probability that a homeowners policyholder reports a property claim in a year
increases by 25% per year. Conversely, the probability that a homeowners policyholder
reports a liability claim in a year decreases by 25% per year.
The probability that a homeowners policyholder reports both a property claim and a
liability claim in Year 1 is 0.01. The event that a homeowners policyholder reports a
property claim is independent of the event that the policyholder reports a liability claim.
Calculate the probability that a homeowners policyholder reports both a property claim
and a liability claim in Year 9.
(A) 0.005
(B) 0.006
(C) 0.010
(D) 0.014
(E) 0.015
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