statistics

3. Suppose you're on a game show and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. I [but the door is not opened], and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you. "Do you want to pick door No. 2?" What is your probability of winning the car if you keep your original choice of door #1? What is your probability of winning the car if you switch your choice to door #2? Should you stay with your original choice or switch? Also explain your