During frequent trips to a certain city a traveling sales person stays at hotel A 50%of the time, at hotel B 30% of the time, and at hotel C 20% of the time. When the salesperson checks in, there is some problem with the reservation 3% of the time at hotel A, 6% of the time at hotel B, and 10% of the time at hotel C. Suppose the salesperson travels to this city.
Find the probability that the sales person stays at hotel A and has a problem with the reservation.
