# High School Math Learning Activity: Monty Hall Problem

Monty Hall was the host for the television show Let’s Make a Deal. In one event on the show, contestants chose a door they believed had a prize behind it. Upon choosing, they were shown what was behind one door, and given the opportunity to switch their guess to another. This event has inspired a famous probability puzzle called The Monty Hall Problem.

Play our version of the game for yourself. Do you think it’s better to stay with your guess, or switch to another door?

After you play, click the explanation button to learn the answer.

This interactive activity is embedded in our High School Math course.

Students develop algebraic fluency by learning the skills needed to solve equations and perform manipulations with numbers, variables, equations, and inequalities. They also learn concepts central to the abstraction and generalization that algebra makes possible. Students learn to use number properties to simplify expressions or justify statements; describe sets with set notation and find the union and intersection of sets; simplify and evaluate expressions involving variables, fractions, exponents, and radicals; work with integers, rational numbers, and irrational numbers; and graph and solve equations, inequalities, and systems of equations. They learn to determine whether a relation is a function and how to describe its domain and range; use factoring, formulas, and other techniques to solve quadratic and other polynomial equations; formulate and evaluate valid mathematical arguments using various types of reasoning; and translate word problems into mathematical equations and then use the equations to solve the original problems.