In any given year, a male automobile policyholder will make a claim with probability pm un...

In any given year, a male automobile policyholder will make a claim with probability pm und a female policyholder will make a claim with probability pf, where pf ≠ pm. The fraction of the policyholders that are male is α, 0<α<1. A policyholder is randomly chosen. If Ai denotes the event that this policyholder will make a claim in year i, show that

P(A2|A1) > P(A1)

Give an intuitive explanation of why the preceding inequality is true.