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

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.

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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?

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Created by
Ashish Gupta