> You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you wan

> You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice? Left unspecified: does the host _always_ follow this exact procedure unconditionally? Does the player know this to be a fact? Is the hosts algorithm exacly: 1) let the player choose a door 2) open _a_ door that was not the players choice that the host knows contains a goat 3) let the player change choice if they'd like If it's not, then depending on what the host's algorithm is, then it's not even a question of probability or the odds might differ. Also depending on what the player knows or doesn't it may stop being a question of probability.