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Curated by: Khan Academy India - English (28 videos)
This video explains the formula for the probability of the union of three events (A or B or C). We'll use a Venn diagram to visualize the different regions representing the events and their intersections. By carefully considering each section, we'll derive the general formula: P(A U B U C) = P(A) + P(B) + P(C) - P(A and B) - P(B and C) - P(C and A) + P(A and B and C). This illustrates the inclusion-exclusion principle for three events. 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-combination-of-events) Timestamps: 00:00 Introduction: Visualizing the union of three events with a Venn diagram 00:30 Identifying the distinct regions in a 3-set Venn diagram 01:10 Deriving the formula for the union of three sets (A U B U C) 04:10 Relating the set formula to the probability formula P(A U B U C) 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