Math · 2

In the classic three-door Monty Hall problem, what is the win probability for a contestant who keeps their original door choice?

Answer

33%

The contestant's initial pick has a 1-in-3 chance of hiding the car, and revealing a goat behind another door does not change that original probability, so staying wins only about 33% of the time.

💡 Did you know?

The Monty Hall Problem stumped mathematicians for years: switching doors after one opens increases your win odds from 33% to 67%, yet most people's brains reject this.

Other options people guess

  • 50%
  • 67%
  • 25%

Topics

  • probability
  • monty-hall
  • statistics
  • paradox

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