The Famous Probability Paradox - Should You Switch Doors?
The Monty Hall Problem is a famous probability puzzle based on the game show "Let's Make a Deal".
The Setup:
The Paradox: Intuitively, it seems like switching shouldn't matter - both remaining doors should have a 50% chance. But mathematically, switching gives you a 2/3 (66.7%) chance of winning!
Why? When you first pick, you have a 1/3 chance of being right. After Monty reveals a goat, switching gives you the other 2/3 probability. The opened door's probability transfers to the unopened door you can switch to.