Advantage Quote by Marilyn vos Savant
“Suppose you're on a game show, and you're given the choice of three doors. Behind one door is a car, the others, goats. You pick a door, say #1, and the host, who knows what's behind the doors, opens another door, say #3, which has a goat. He says to you: 'Do you want to pick door #2?' Is it to your advantage to switch your choice of doors?”
About This Quote
Source Problem: Monty Hall Problem, popularized in Parade Magazine, 1990
Switching doors doubles the probability of winning the car compared to staying with the initial choice.
In simple terms: Switch to improve odds.
Switch to increase winning chances.
Themes
Mood
Type
When to use this quote
- quiz shows
- decision under uncertainty
- teaching probability
- contest strategies
Key Concepts
Questions to Reflect On
- What assumptions are you making about the host’s actions?
- How does understanding probability change everyday choices?
If the host's behavior deviates from the standard rules, the advantage may disappear.