project to have students experiment with the "Monty Hall Problem", contestants are presented with 3 curtains, behind only 1 of the curtains a prize is randomly placed, the question is when you pick a curtain, and are offered the choice to choose to another curtain given the third option without a prize is revealed, does it matter if you switch (50/50 chance now or 1 in 3 chance vs. something else) or stick to your original choice?
