No, it is you who are wrong. You can't write down a table if you don't have a proper explanation of the possible event chains, and in this case you don't. Inste

No, it is you who are wrong. You can't write down a table if you don't have a proper explanation of the possible event chains, and in this case you don't. Instead when people write down these event chain they add information that isn't there and then think they actually solved the problem. But all you really know is that this one time the host opened a door with a goat, you have no idea if the host always does this since the problem statement doesn't actually say it outright. It might be a good assumption to make, but it isn't in the description so it isn't a mathematically rigorous answer.