Staying gives you approximately a:
1/3 chance of winning.
Switching gives you approximately a:
2/3 chance of winning.
The lesson isn’t really about doors or goats.
It’s about how easily our intuition can misunderstand probability.
Sometimes a decision that feels like a 50–50 choice is not 50–50 at all.
And that is exactly why the Monty Hall Problem has remained one of the most famous probability puzzles for decades.
Meta description:
The Monty Hall Problem seems like a 50–50 choice, but probability says otherwise. Learn why switching doors gives you a 2/3 chance of winning.