He does care. 2/3 of the time, your choice forces his. If you choose a goat, Monty doesn't have a choice. He can only reveal the other goat. The other 1/3 of t

He does care. 2/3 of the time, your choice forces his. If you choose a goat, Monty doesn't have a choice. He can only reveal the other goat. The other 1/3 of the time, you're right, he doesn't care, because he can choose any of the remaining doors at random.