Valid XHTML 1.0 Transitional

Simulations Page
main

Steve Young's Monty Hall Paradox Page
(© Steve Young 2008)



The Monty Hall problem take it's name from a game show where the contestant has to choose from one of three doors. Behind one door is a car, the main prize, and behind each of the other two doors is a goat. After the contestant has chosen a door the host, Monty Hall, opens one of the other doors to reveal a goat. The contestant is then invited to either swap his chosen door for the other unopened door or to stick with his chosen door. The contestant actually improves his chances by swapping but this fact caused a lot of controversy and disagreement, even among some famous mathematicians. You can read more about the problem here.
Please make any comment or suggestions here.
door1
Door 1
door1
Door 2
door1
Door 3
This page simulates the game. Click on a door to select it then a goat will be revealed behind another door. You should then click on Swap or No Swap. The result is then counted according to whether you swapped or not. You can save yourself a lot of clicking by playing 100 games at a go by selecting "100 Plays Swap" or "100 Plays No-Swap"
Reset all counters to zero
Click to toggle Cheat On/Off. When "Cheat On" selected a popup showing the order of the goats and car is enabled. When "Cheat Off" selected cheat popup is disabled
Will run 100 times swapping doors each time
Will run 100 times keeping original door each time

Swap

Cars Won = Goats Won = % Cars

Not Swap

Cars Won = Goats Won = %Cars