Simulate the famous probability paradox to see why switching doors is always better.
Simulation Settings
The more trials, the closer results will get to the theoretical 66.7%.
Simulation Results
Run the simulation to see if switching is really better.
About this calculator
Overview
The Monty Hall problem is a brain teaser, in the form of a probability puzzle, loosely based on the American television game show 'Let's Make a Deal'. It is famous for being counter-intuitive.
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Pro Tips
Always switch! Theoretically, switching wins 66.7% of the time, while staying wins only 33.3%.
This simulator uses random numbers to prove the mathematical theory through brute force.
Try running 100,000 simulations to see high-precision results.
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Fun Facts
"When Marilyn vos Savant gave the correct solution in 1990, thousands of PhDs wrote in to tell her she was wrong."
"The 'switching' strategy doubles your chances of winning from 1/3 to 2/3."
"The 'paradox' occurs because Monty Hall knows where the car is and always opens a door with a goat."
