Activity Description Run a simulation to generate results from running the Monty Hall for multiple trials thereby exploring the unexpected probabilities resulting from this experiment. This is similar to the game show "Let's Make A Deal", where you choose one of N doors in hopes of finding a grand prize behind one of the doors. Parameters: Number of doors, number of trials, staying, or switching between the two remaining doors.

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Generalized Monty Hall

Place in mathematics curriculum:

• introduce the notions of chance and probability
• motivate the notion of conditional probability
• motivate the notion of random numbers

This activity allows the user to simulate the Monty Hall Game with up to 100 doors in which the user chooses a door, and then all but one door is opened to reveal a stinking pig. The player must then decide to stick with the original choice or change. This activity would work well in groups of two to four for about twenty to twenty-five minutes if you use the exploration questions and five minutes otherwise.

Preparations for this activity:

• answer the question "What is Monty Hall?"
• discuss probability and conditional probability