You're not fully describing the Monty Hall problem - as you've described it, the answer is indeed 50%. In the Monty Hall problem: 1. You pick one of three doo

You're not fully describing the Monty Hall problem - as you've described it, the answer is indeed 50%. In the Monty Hall problem: 1. You pick one of three doors. 2. The host opens one of the two doors you didn't pick to reveal a goat 3. You are given the opportunity to keep your original choice, or pick the other unopened door In this situation, there is a 1/3 chance that the prize is behind the original door, and a 2/3 chance it's behind the remaining unopened door.