Can you help me with a probability problem. It is like the Monty Hall problem but slightly different. You have 3 Doors. One has a car and 2 have goats. 1/3 1/3 1/3. You predict Door A. Then later you randomly learn Door C does not have the car. What is the probability that Door B has the car and could you please either prove it or make it intuitively obvious to me. Thank you Christopher Baldwin