1,000 Simulations
Number of Simulations: 1,000; Your Initial Door Choice (1, 2, or 3): Door 1
Wins by Staying With Initial Choice: 333; Wins by Switching Doors: 667; Stay Win Percentage: 33.3 %; Switch Win Percentage: 66.7 %
Monty Hall Problem Calculator
Math0.0(0)
Demonstrates the counter-intuitive solution to the Monty Hall probability puzzle. This calculator helps visualize the probabilities of winning by switching doors versus staying with the initial choice.
More tools:Math & Statistics Calculators
How To Use
How to use this calculator
Start with your values, or try a preset.
Step 1
Enter Number of Simulations and Your Initial Door Choice (1, 2, or 3) in the units shown.
Step 2
Read Wins by Staying With Initial Choice, Wins by Switching Doors, Stay Win Percentage, and Switch Win Percentage in the results panel. Results update as you change the inputs.
Step 3
Choose a preset to load an example, then adjust the values for your situation.
Worked Examples
Example calculations
See the inputs and their calculated results.
10,000 Simulations
Number of Simulations: 10,000; Your Initial Door Choice (1, 2, or 3): Door 2
Wins by Staying With Initial Choice: 3,333; Wins by Switching Doors: 6,667; Stay Win Percentage: 33.33 %; Switch Win Percentage: 66.67 %
500 Simulations, Door 3
Number of Simulations: 500; Your Initial Door Choice (1, 2, or 3): Door 3
Wins by Staying With Initial Choice: 167; Wins by Switching Doors: 333; Stay Win Percentage: 33.4 %; Switch Win Percentage: 66.6 %
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