“The winning odds of 1/3 on the first choice can’t go up to 1/2 just because the host opens a losing door,” Wow. I've never seen it phrased so simply. _of cour

“The winning odds of 1/3 on the first choice can’t go up to 1/2 just because the host opens a losing door,” Wow. I've never seen it phrased so simply. _of course_ it doesn't change–if you picked the door with a goat, the host has no choice but to open the door he does. If you pick the door with the prize, whatever door he picks simply doesn't matter. There's no new information to learn about your own pick from that.