The chartered financial analyst (CFA) is a designation
earned after taking three annual exams (CFA I,II, and III).
The exams are taken in early June. Candidates who pass
an exam are eligible to take the exam for the next level
in the following year. The pass rates for levels I, II,
and III are 0.52, 0.76, and 0.81, respectively. Suppose that
3,000 candidates take the level I exam, 2,500 take the
level II exam and 2,000 take the level III exam. Suppose
that one of the 7,500 candidates is selected at random. What is the
probability that he or she passes the exam?
Probability =