The Monty Hall Problem
Probability problems are often among the hardest math concepts for students to wrap their heads around. Often, your common sense says one thing—but the answer is something else entirely! The only way to really hammer this concept home is through practice, practice, practice, but it doesn't have to be all work and no fun.
Here's a brainteaser that always leads to a lively debate. You’re on the game show “Let’s Make a Deal,” and Monty Hall is the host. Your job: choose one of three doors. If you choose the door hiding a car, you’ll win it! Otherwise, you win nothing.
What happens? You choose Door #1. Monty then opens the second door, and it’s empty.Your door still might be right! But then, he gives you the opportunity to switch to Door #3 before unveiling the car. Should you switch, or should you stay? The answer is surprising, and makes for a great lesson in probability. Here's how to turn this conundrum into a fun math activity your teen will enjoy.