Conditional probability - two children problem[Hinglish]| Probability | Grade 12| Math| Khan Academy

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In this video, we analyze the classic ""two children problem"" using conditional probability, assuming each child is equally likely to be a boy or a girl. We'll determine the conditional probability that both children are girls given that: (i) the youngest child is a girl, and (ii) at least one of the children is a girl. We'll list the sample space and identify the relevant events to apply the conditional probability formula. 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 Introduction: The classic two-children problem with conditional probability 00:40 Defining the sample space for a family with two children (GG, GB, BG, BB) 01:10 Problem (i): P(both are girls | the youngest is a girl) 03:20 Problem (ii): P(both are girls | at least one is a girl) and solution 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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