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Curated by: Khan Academy India - English (28 videos)
In this video, we calculate probabilities related to how individuals are divided into groups. We'll start with a scenario of 5 students being divided into a group of 2 and a group of 3, and find the probability that two specific students (A and B) end up in the same group, and then in different groups. We'll also explore how these probabilities change with larger group sizes, such as groups of 40 and 60, or two groups of 50. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (https://www.khanacademy.org/math/ncert-class-11/xea4762213f311c5e:probability-ncert-new/xea4762213f311c5e:axiomatic-approach-to-probability/e/probability-of-complements) Timestamps: 00:00 Problem 1: 5 students, groups of 2 and 3. P(A and B in same group)? 01:20 Method: Calculating total ways to select 2 students, and favorable ways 02:25 Problem 2: P(A and B in different groups)? 02:45 Extension: Probability with larger group sizes (e.g., 40 and 60, or 50 each) 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