Counting Probabilities with Combinatorics and the Factorial

Here we describe some of the most useful concepts in probability: combinatorics and the factorial. We will be able to count how many ways a certain event can happen, such as how many ways I can get 5 heads in 10 coin flips, and how many 5 card hands can I deal off of a 52 car deck. We will discuss sampling with and without replacement, and the various formulas to compute these probabilities. This video was produced at the University of Washington, and we acknowledge funding support from the Boeing Company %%% CHAPTERS %%% 00:00 Intro 02:26 Order Matters: Coin Flips 05:54 No Replacement: Poker Hands 09:10 The Factorial in Probability 10:32 Generalized Order Matters Formulas/Formulae 12:16 Order Agnostic Formula and Permutation 15:21 Example Exercise: License Plates 17:18 Outro