Probability, Bayes theorem

2. Assume RACV {Royal Automobile Club Victoria) holds a rewarding carnival in South Bank= Melbourne. They have an activity where a new.r car is parked behind one of three doors {door A: B, C). Players are going to choose one door. Suppose you choose door A. Then, the host will open a door with no car behind. At this time, the host will as]: you if you want to change your choice. Are you going to change your mind?r To answer this question, you need to calculate the probability of winning the car when you stick to your decision and the probability of winning the car when you change your mind. PS. The host won't tell you if there is no car behind your selected door