Question

# It is great to have a corporate car to handle the daily trips but it is only helpful if it has enough

gas

for the next trip. Mike and Jim are the people that use the car the most. Mike is not very

responsible about refueling the car. If Mike used the car and Jim used the car, there is a 70%

probability that the car will have gas but if Mike used the car and Jim didn't then there is a 90%

probability that the car won't have enough gas. When Mike doesn't use the car then things are

better because if only Jim uses the car then there is a 90% probability that the car will have gas.

When neither one uses the car the probability of having enough gas is 50%. If the car doesn't

enough gas there is a 90% probability that it won't be used but if it does, then there is the same

probability that it will be used. I wanted to use the car but decided not to use it, what is the

probability that Mike was the last one to use it?