Finding probability using binomial theorem [Hinglish] | Probability | Grade 12 | Math | Khan Academy

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In this video, we explore how to apply the binomial theorem to solve probability problems. We'll work through an example where we need to find the probability that at most 6 people in a random sample of 10 are right-handed, given that 90% of the population is right-handed. We'll define the parameters for a binomial distribution (n, p, q) and use the complement event (finding the probability of 7 or more right-handed people) to simplify the calculation and arrive at the final answer. 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:baye-s-theorem/e/theorem-of-total-probability) Timestamps: 00:00 Problem: 90% of people are right-handed. In a sample of 10, find P(at most 6 are right-handed). 00:50 Defining success (p), failure (q), and the binomial formula P(X=r). 01:50 Strategy: Calculating the complement, P(more than 6 are right-handed). 02:45 Calculating P(X=7), P(X=8), P(X=9), P(X=10) and finding the final answer 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 2025-06-20 · Watch on YouTube ↗
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