/sci/ - Science & Math

(Strategy A) Switching doors:
(1) if you picked the car you will land on a goat;
(2) if you picked a goat you will land on the car.
(Strategy B) Not switching doors:
(1) if you picked the car you will stay on the car;
(2) if you picked a goat you will stay on a goat.
Your odds of winning the car in Strategy A are 2/3. Your odds of winning the car in Strategy B are 1/3. Therefore the best strategy is switching doors.