A number of years ago, there was a popular television game show called Let’s Make a Deal. The host, Monty Hall, would randomly select contestants from the audience and, as the title suggests, he would make deals for prizes. Contestants would be given relatively modest prizes and would then be offered the opportunity to risk those prizes to win better ones.

1. Before Monty shows you what’s behind curtain C, what is the probability that the car is behind curtain A? What is the probability that the car is behind curtain B?
2. After Monty shows you what’s behind curtain C, what is the probability that the car is behind curtain A? What is the probability that the car is behind curtain B?