6th Grade Challenge Tasks

The Tale of Three Doors

Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a case containing 1 million dollars; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?

Task: Run your own set of experiments to determine whether or not it is to your advantage to keep or to switch.

Directions

1) Set up 3 cups with an object under one of them.

2) Play the Monty Game with a friend.

3) Track whether the player switches or keeps their original pick and whether they win or not.

4) Analyze the data. What probability did the player have of winning if they switched vs if they didn't switch? Represent the answer as both a fraction, decimal, and percent.

5) Record your experiment, the data, and the analysis on a Google Slide

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