Math · 2

In the Monty Hall problem, switching your choice after a door is revealed raises your odds of winning to approximately what percentage?

Answer

67%

When the host reveals a goat behind one of the two unchosen doors, switching consolidates the original 2/3 probability that the car was behind one of those doors, raising the win chance to about 67%.

💡 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

  • 33%
  • 50%
  • 75%

Topics

  • probability
  • monty-hall
  • statistics
  • paradox

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