It always seemed a bit easy to me without running through probabilities due to the fact that the game show host was forced to choose goat (which is different de

It always seemed a bit easy to me without running through probabilities due to the fact that the game show host was forced to choose goat (which is different depending on where the car is). The idea of a forced non-random choice is more clear to me than a probability explanation, but you need probability to demonstrate a proof.