Park City Mathematics Institute
Data, Statistics, and Probability
Let 'Em Roll™ Simulation
by Matthew Carpenter, Jonathan Alder High School, Plain City, Ohio
Activity Guide: MS Word || PDF
Teacher Guide: MS Word || PDF
Teacher Fathom Document: Fathom
Student Guide: MS Word || PDF
Student Fathom Document: Fathom
WHAT IS IT?
The teacher will explain and simulate the Let 'Em Roll™ game by using the Fathom software. To completely understand the Let 'Em Roll™ game, the teacher should first go through the teacher guide (Teacher Guide).
Starting off with the contestant having three rolls to win the car, each student will simulate playing the Let 'Em Roll™ game 5000 times by using the Fathom software. They will then repeat this process to find three more samples of size 5000. Using these four samples, each student will make an estimate for the theoretical probability. This entire process will be repeated assuming that the constant only has two rolls to win the car. Once the students have an estimate for each scenario, they will be guided through calculating the theoretical probabilities by hand. (Student Guide).
Precalculus or AP Statistics
Computer with Fathom™ 2 software
Copies of Student Guide
The goal of this activity is to demonstrate a real world situation where the probabilities of mutually exclusive and independent events occur. Each student is asked to calculate the experimental and theoretical probabilities of these events. Students will also explore how probability changes based on a change in the real world situation.
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This material is based upon work supported by the National Science Foundation under DMS-0940733 and DMS-1441467. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.