Conditional probability using combinatorics [Hinglish]| Probability | Grade 12 | Math | Khan Academy

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This video demonstrates how to use combinatorics (combinations) to solve conditional probability problems. We'll work through an example where a committee of 4 students is selected from a group of 8 boys and 4 girls. Given that there is at least one girl on the committee, we will calculate the probability that there are exactly 2 girls on the committee using the conditional probability formula and combinations to find the probabilities of the relevant events. 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:conditional-probability-ncert-new/e/calculating-conditional-probability) Timestamps: 00:00 Problem: Committee of 4 from 8 boys & 4 girls. 00:40 Event A: At least one girl is on the committee. Calculating P(A). 02:50 Event B: Exactly 2 girls are on the committee. Defining A intersect B. 04:20 Calculating P(B|A): P(exactly 2 girls | at least one girl) 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 2025-06-16 · Watch on YouTube ↗
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