Learning Objectives

1. Be able to state whether it is better to stay or switch.
2. Be able to state the effect of the number of doors.

Instructions
In the Monty Hall Problem, the contestant is shown three doors. Two of the doors have goats behind them and one has a car. The contestant chooses a door. Before opening the chosen door, Monty Hall opens a door that has a goat behind it. The contestant can then switch to the other unopened door, or stay with the original choice. In this demonstration, you begin by clicking on a door. A different door showing a goat will then appear. You then either click your original door again or switch to a different door. You will see whether you win a car or a goat. Your cumulative results will be shownabove the doors.

The question is whether you are more likely to win if you stay or if you switch. Intuitively it seems like it makes no difference but play with the simulation to see what you find. Begin by staying 10 times. Then switch 10 times.

The results are more dramatic if you increase the number of doors.

Play the game.