Testing for independence [Hinglish] | Probability | Grade 12 | Math | Khan Academy

From the creator

This video focuses on how to test whether two events are independent. We'll use the core condition for independence: events E and F are independent if and only if the probability of E and F both occurring, P(E intersect F), is equal to the product of their individual probabilities, P(E) times P(F). We'll apply this test to various scenarios, including given abstract probabilities and outcomes from throwing dice. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (https://www.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:probability-ncert-new/x7ce8ca9c5869750b:independent-events/e/independent_probability) Timestamps: 00:00 Problem 1: Given P(E), P(F), P(E intersect F). Are E and F independent? 01:10 Problem 2: Given P(A), P(B), P(not A or not B). Are A and B independent? 02:40 Problem 3: Die thrown. E (multiple of 3), F (even number). Are E and F independent? 05:40 Problem 4: Die thrown twice. A (odd on first), B (odd on second). Are A and B independent? Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Ashish Gupta

Published 2025-06-17 · Watch on YouTube ↗
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