The governor of a certain state has decided to come out strongly for prison reform and is preparing a new early release program. Its guidelines are simple: prisoners related to members of the governor’s staff would have a 90% chance of being released early; the probability of early release for inmates not related to the governor’s staff would be 0.01. Suppose that 40% of all inmates are related to someone on the governor’s staff. What is the probability that a prisoner selected at random would be eligible for early release?