You have estimated that there is a 1% chance that something is wrong with your car each time you start it. If something is wrong, there is a 90% chance that the “check engine” light comes on. If nothing is wrong, there is still a 5% chance that the light comes on in error.

(a) Introduce relevant events and compute the probability that the light comes on when you start your car.

(b) If the light comes on, what is the probability there is something wrong?