THE MONTY HALL PROBLEM


The following is a simple simulation of the Monty Hall problem.
It took a total of 1.5 hours to create.

Adding colour and graphics would be simple but the time might better be spent on other examples. The names of links should be changed and the file tripled in size.

We haven't spent much time on the words here so read the first few pages carefully.
Grab a paper and pencil and remember, looking at the scroll bars is cheating.
David Andrews
6:31 p.m. June 5, 1996

START







































MONTY HALL


There are three doors.
Behind one is a car, behind the others are goats.
For the moment, think that cars are handy and goats are a lot of work.
Imagine that you want the car.
This, of course, is subject to debate, but this is only a game. The debate comes after.

Pick a door.



| Door 1 | Door 2 | Door 3 |









































MONTY HALL


You picked Door 1.
Monty Hall has opened Door 3.
It's not a car.
But he gives you another chance.
You can repick Door 1 or the other door.
Should you stick or switch? That is the question.
It is interesting to try both strategies. Which one is better?
Make a note of the strategy you are using STICK or SWITCH and find out which is better.

Pick a Door



| Door 1 | Door 2 | GOAT |









































MONTY HALL




| CAR | DOOR 2 | GOAT |


You WON!.
Add 1 to your score.
NEXT







































MONTY HALL




| DOOR 1 | GOAT | GOAT |


You LOST!.
SUBTRACT 1 from your score.
NEXT







































MONTY HALL


You picked Door 2.
Monty Hall has opened Door 3.
You can repick Door 2 or the other door.
Pick a Door


| Door 1 | Door 2 | GOAT |









































MONTY HALL




| CAR | DOOR 2 | GOAT |


You WON!.
Add 1 to your score.
NEXT







































MONTY HALL




| DOOR 1 | GOAT | GOAT |


You LOST!.
SUBTRACT 1 from your score.
NEXT







































MONTY HALL


You picked Door 3.
Monty Hall has opened Door 2.
You can repick Door 3 or the other door.
Pick a Door


| Door 1 | GOAT | Door 3 |









































MONTY HALL




| CAR | GOAT | DOOR 3 |


You WON!.
Add 1 to your score.
NEXT







































MONTY HALL




| DOOR 1 | GOAT | GOAT |


You LOST!.
SUBTRACT 1 from your score.
NEXT







































MONTY HALL


There are three doors.
Behind one is a car, behind the others are goats.
Pick a door.


| Door 1 | Door 2 | Door 3 |









































MONTY HALL


You picked Door 1.
Monty Hall has opened Door 3.
You can repick Door 1 or the other door.
Pick a Door


| Door 1 | Door 2 | GOAT |









































MONTY HALL




| GOAT | DOOR 2 | GOAT |


You LOST!.
SUBTRACT 1 from your score.
NEXT







































MONTY HALL




| DOOR 1 | CAR | GOAT |


You WON!.
Add 1 to your score.
NEXT







































MONTY HALL


You picked Door 2.
Monty Hall has opened Door 3.
You can repick Door 2 or the other door.
Pick a Door


| Door 1 | Door 2 | GOAT |









































MONTY HALL




| GOAT | DOOR 2 | GOAT |


You LOST!.
SUBTRACT 1 from your score.
NEXT







































MONTY HALL




| DOOR 1 | CAR | GOAT |


You WON!.
Add 1 to your score.
NEXT







































MONTY HALL


You picked Door 3.
Monty Hall has opened Door 1.
You can repick Door 3 or the other door.
Pick a Door


| GOAT | Door 1 | Door 3 |









































MONTY HALL




| GOAT | CAR | DOOR 3 |


You WON!.
Add 1 to your score.
NEXT







































MONTY HALL




| GOAT | DOOR 2 | GOAT |


You LOST!.
SUBTRACT 1 from your score.
NEXT







































MONTY HALL


There are three doors.
Behind one is a car, behind the others are goats.
Pick a door.


| Door 1 | Door 2 | Door 3 |









































MONTY HALL


You picked Door 1.
Monty Hall has opened Door 2.
You can repick Door 1 or the other door.
Pick a Door


| Door 1 | GOAT | Door 3 |









































MONTY HALL




| GOAT | DOOR 2 | DOOR 3 |


You LOST!.
SUBTRACT 1 from your score.
NEXT







































MONTY HALL




| DOOR 1 | GOAT | CAR |


You WON!.
Add 1 to your score.
NEXT







































MONTY HALL


You picked Door 3.
Monty Hall has opened Door 1.
You can repick Door 3 or the other door.
Pick a Door


| GOAT | Door 2 | Door 3 |









































MONTY HALL




| GOAT | GOAT | DOOR 3 |


You LOST!.
SUBTRACT 1 from your score.
NEXT







































MONTY HALL




| GOAT | DOOR 2 | CAR |


You WON!.
Add 1 to your score.
NEXT







































MONTY HALL


You picked Door 3.
Monty Hall has opened Door 1.
You can repick Door 3 or the other door.
Pick a Door


| GOAT | Door 2 | Door 3 |









































MONTY HALL




| GOAT | GOAT | DOOR 3 |


You LOST!.
SUBTRACT 1 from your score.
NEXT







































MONTY HALL




| GOAT | DOOR 2 | CAR |


You WON!.
Add 1 to your score.
NEXT