Bayes' Theorem & Total Probability Explained | Voter Problem Step-by-Step

Master Bayes' Theorem and Conditional Probability with this step-by-step problem breakdown! In this tutorial, we solve a classic voter participation word problem to find total probability and posterior probabilities. Problem Statement: A total of 46% of voters in a certain city are classified as Independents, 30% classify themselves as Liberals, and 24% say they are Conservatives. In a recent local election, 35% of Independents, 62% of Liberals, and 58% of Conservatives voted. A voter is chosen at random. Given that this person voted in the local election, what is the probability that he/she is: An Independent A Liberal A Conservative The total percentage of voters who participated in the election What You Will Learn: How to extract given prior and conditional probabilities from word problems Calculating overall voter turnout using the Law of Total Probability Applying Bayes' Theorem to find conditional (posterior) probabilities Clear, step-by-step mathematical reasoning suitable for exam preparation If this tutorial helped clarify Bayes' Theorem, please like, share, and subscribe for more step-by-step math lessons! #BayesTheorem #Probability #Statistics #MathTutorial #ConditionalProbability #EngineeringMath #Class12Maths #MathHelp Suggested Video Titles (Optional) Bayes' Theorem Made Easy | Voter Participation Probability Problem Explained How to Solve Conditional Probability & Bayes' Rule Step-by-Step Bayes' Theorem & Total Probability Word Problem | Full Solution