An automobile insurance company classifies drivers as:
. . Class A (good risks), class B (medium risks), and class C (poor risks).
They found that class A constitutes 30% of their drivers, class B 50%, and class C 20%.
The probability that a driver will have one or more accidents in any 12-month period is:
. . 0.01 for class A, 0.03 for class B, and 0.10 for class C.
The company sells Mr. Jones an insurance policy and within a year he has an accident.
What is the probability that Mr. Jones is a class B risk?