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
Set Theory in Probability: Sample Spaces and Events
Claude Opus 4.8: Lying Machine No More?
Vergesst Rechtsradikale: Die wahre Gefahr sind Islamisten, so Prof. Susanne Schröter
4. Counting
Combinatorics and Higher Dimensions - Numberphile
Overexplaining the binomial distribution
ALL OF QUANTUM MECHANICS in 15 Minutes
Conditional Probabilities
Gentle Introduction to Probability: Counting Coin Flips and Dice
The Birthday Problem in Probability: P(A) = 1 - P(not A)
1. A bridge between graph theory and additive combinatorics
Bayes' Theorem (with Example!)
All of Combinatorics in 30 Minutes
The Pattern Nobody Can Prove (But Everyone Believes)
Quality Control, Non-Destructive Inspection, and the Multinomial Distribution
Bernoulli and Binomial Random Variables
Train Your Brain to Never Forget (5 Feynman Habits)
Bayes theorem, the geometry of changing beliefs
