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The Monty Hall Problem or How to Outsmart a Game Show and Win a Car
Unrestricted Use
CC BY
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This lesson teaches students how to make decisions in the face of uncertainty by using decision trees. It is aimed for high school kids with a minimal background in probability; the students only need to know how to calculate the probability of two uncorrelated events both occurring (ie flipping 2 heads in a row). Over the course of this lesson, students will learn about the role of uncertainty in decision making, how to make and use a decision tree, how to use limiting cases to develop an intuition, and how this applies to everyday life. The video portion is about fifteen minutes, and the whole lesson, including activities, should be completed in about forty-five minutes. Some of the activities call for students to work in pairs, but a larger group is also okay, especially for the discussion centered activities. The required materials for this lesson are envelopes, small prizes, and some things similar in size and shape to the prize.

Subject:
Mathematics
Statistics and Probability
Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Sam Shames, Cameron Tabatabaie, Ben Kaloupek
Date Added:
03/18/2020
Solar Farm Cost-Benefit Analysis
Read the Fine Print
Educational Use
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A cost-benefit analysis is a good way to weigh the costs and the benefits and compare them to see if the decisions being made are sound and worthwhile. For a hypothetical solar farm design problem, students are given a solar cost-benefit analysis sheet to complete within groups. They weigh the expense and benefits of two types of solar panels (with different costs, wattage outputs and land impacts), consider the cost of using the acreage for solar (which removes it from ranching use), and explain why they consider the panel combination they propose to be best. If the costs outweigh the benefits, then a project is not worth doing. On the other hand, if the benefits outweigh the costs, then it is worth implementing the plan.

Subject:
Engineering and Information Technologies
Physical Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
Activities
Author:
Ashley Martin
Dale Gaddis
Hannah Brooks
Lazar Trifunovic
Shay Marceau
Date Added:
04/19/2017