Reliability of a test-Intro to Bayes theorem[Hinglish]| Probability | Grade 12 | Math | Khan Academy

This video provides an introduction to Bayes' Theorem by examining the reliability of a medical diagnostic test. We'll explore a scenario where a test isn't 100% accurate and a disease is rare. Using a tree diagram, we'll calculate the probability that a person who tests positive for the disease actually has it. This example provides an intuitive understanding of why Bayes' theorem is so important.

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Timestamps:
00:00 Introduction to Bayes' Theorem with a real-world example: diagnostic tests
00:20 Problem: Defining the reliability and error rates of a medical test
01:45 Using a tree diagram to map out all possible outcomes
03:50 Calculating the probability of a positive test result, P(Positive)
05:25 Finding P(Has disease | Positive), the probability of having the disease given a positive test

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Created by
Ashish Gupta