Living Physics Portal: Prediction from Probability and Counting

Abstract: Here, we introduce the math needed to model random processes: probability and counting. This material covers probability distributions, operations, multiplicity, and expectation values. We move from basic ideas grounded on the counting of possible outcomes to predict probability distributions (mostly binomial). Mathematical tools for calculating multiplicity enable the students to move beyond brute force counting and motivate meaning and a beyond-operational understanding of algorithms like n-choose-m. Once these ideas are established, we introduce expectation values for building models and predicting physical outcomes.

Resource Types: Instructor supplement, Clicker question, Lecture materials, In-class activity

Authors:

Mark Reeves

George Washington University

Phoebe Sharp

George Washington University

Pi Nuessle

George Washington University

Rachael Stewart

George Washington University

IBET RAMIREZ-URREA

Woodrow Wilson

GW Group

Living Physics Portal Team

TOPICS

Physics Topics:

Thermo & Stat Mech > Probability > Binomial Distribution, Gaussian Distribution, Probability Density

Life Sciences Topics:

None

Math Topics:

Algebra; Exponentials and Logarithms; Integral Calculus; Probability

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License: CC: BY-NC-SA - Attribution, No Commercial uses and Share Alike. Derivative works must have the same license

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