The Monty Hall Problem or How to Outsmart a Game Show and Win a Car

Resource ID#: 56102 Primary Type: Lesson Plan

General Information

Subject(s): Mathematics
Grade Level(s): 9, 10, 11, 12
Intended Audience: Educators educators
Suggested Technology: Computer for Presenter, Internet Connection, LCD Projector, Overhead Projector
Instructional Time: 50 Minute(s)
Keywords: Probability, Decision Trees, Limiting Cases
Instructional Component Type(s): Lesson Plan Problem-Solving Task Video/Audio/Animation
Instructional Design Framework(s): Guided Inquiry (Level 3)
Resource Collection: MIT BLOSSOMS

Aligned Standards

This vetted resource aligns to concepts or skills in these benchmarks.

Related Resources

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Problem-Solving Task

MIT BLOSSOMS - The Broken Stick Experiment: Triangles, Random Numbers and Probability:

This learning video is designed to develop critical thinking in students by encouraging them to work from basic principals to solve a puzzling mathematics problem that contains uncertainty. One class session of approximately 55 minutes is necessary for lesson completion. First-year simple algebra is all that is required for the lesson, and any high school student in a college-preparatory math class should be able to participate in this exercise. Materials for in-class activities include: a yard stick, a meter stick or a straight branch of a tree; a saw or equivalent to cut the stick; and a blackboard or equivalent. In this video lesson, during in-class sessions between video segments, students will learn among other things: 1) how to generate random numbers; 2) how to deal with probability; and 3) how to construct and draw portions of the X-Y plane that satisfy linear inequalities.

Type: Problem-Solving Task

Virtual Manipulative

Plinko Probability:

The students will play a classic game from a popular show. Through this they can explore the probability that the ball will land on each of the numbers and discover that more accurate results coming from repeated testing. The simulation can be adjusted to influence fairness and randomness of the results.

Type: Virtual Manipulative