The Monty Hall Problem - StatPlay
Intuition says 50/50. Math says Switch. Visualize why switching doors doubles your odds.
The Monty Hall Problem. Intuition says 50/50. Math says Switch. When you first pick a door, you have a 1/3 chance of being right. The other two doors combined have a 2/3 chance. When the host opens a 'goat' door from that set, the 2/3 chance shifts entirely to the remaining closed door. Switching effectively lets you pick TWO doors instead of one.