In the Monty Hall game, there are three doors; a car is behind one and goats are behind the other two. Click on the Play button to start a new game. Then select a door by clicking. The host will open one of the other two doors. Finally select a door again (you may stick with your original selection or switch). This door is opened and you either win or lose.
Either of two host strategies can be selected with the list box. In the standard strategy, the host always opens a door with a goat); in the blind strategy, the host randomly opens one of the two doors available to him. Random variable indicates the event that the host opened a door with a goat; variable indicates the event that you switched doors from your first selection to your second; and variable indicates the event that you win the car. These variables are displayed on each update in the record table. The empirical distribution of is shown in the distribution graph and is recorded in the distribution table.