if you play this game repeatedly, 2/3 of the time your first guess will be a goat, and Monty will then always show you the other goat, and if you switch you wil

if you play this game repeatedly, 2/3 of the time your first guess will be a goat, and Monty will then always show you the other goat, and if you switch you will see the car behind the remaining door. if you play the game once, you should follow the same strategy. don't explain more than that, the person just needs to grok that. a restatement of the main idea might help: 2/3 of the time your first choice is a goat therefore 2/3 of the time Monty is showing you the other goat therefore 2/3 of the time if you switch you will be switching to the car.