A popular television game show, Let's Make a Deal, from the 1960s and 1970s featured a new car hidden behind one of three doors, selected at random. Behind the other two doors were less appealing prizes (e. g., goats!). When a contestant played the game, he or she was asked to pick one of the three doors. If the contestant picked the correct door, he or she won the car. Required:
What is the probability of winning the car?