Activity Description Choose one of N doors to experimentally determine the odds of winning the grand prize behind one of the doors, as in the TV program "Let's Make a Deal" thereby exploring the unexpected probabilities resulting from this experiment. Parameters: Number of doors, number of trials, staying or switching between the two remaining doors.

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Advanced Monty Hall

Place in mathematics curriculum:

This activity can be used to:

• 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 three for about thirty minutes if you use the exploration questions and ten to fifteen minutes otherwise.

Preparations for this activity:

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