52. A taxi driver provides service in two zones of a city. Fares picked up in zone A will have destinations in zone A with probability 0.6 or in zone B with probability 0.4.

Fares picked up in zone B will have destinations in zone A with probability 0.3 or in zone B with probability 0.7. The driver’s expected profit for a trip entirely in zone A is 6; for a trip entirely in zone B is 8; and for a trip that involves both zones is 12. Find the taxi driver’s average profit per trip.