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Ex 16.3, 13 - Fill in the blanks in following table - Using formulae of sets

Ex 16.3, 13 - Chapter 16 Class 11 Probability - Part 2
Ex 16.3, 13 - Chapter 16 Class 11 Probability - Part 3

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Ex 16.3, 13 Fill in the blanks in following table: We know that P(A ∪ B) = P(A) + P(B) – P(A ∩ B) Putting values P(A ∪ B) = 1﷮3﷯ + 1﷮5﷯ – 1﷮15﷯ P(A ∪ B) = 5 + 3 − 1﷮15﷯ P(A ∪ B) = 7﷮15﷯ Hence P(A ∪ B) = 𝟕﷮𝟏𝟓﷯ Ex 16.3, 13 Fill in the blanks in following table: We know that P(A ∪ B) = P(A) + P(B) – P(A ∩ B) Putting values 0.6 = 0.35 + P(B) – 0.25 0.6 = 0.35 – 0.25 + P(B) 0.6 = 0.10 + P(B) 0.6 – 0.10 = P(B) 0.5 = P(B) P(B) = 0.5 Hence P(B) = 0.5 Ex 16.3, 13 Fill in the blanks in following table: We know that P(A ∪ B) = P(A) + P(B) – P(A ∩ B) Putting values 0.7 = 0.5 + 0.35 – P(A ∩ B) 0.7 = 0.85 – P(A ∩ B) P(A ∩ B) = 0.85 – 0.7 P(A ∩ B) = 0.15 Hence, P(A ∩ B) = 0.15

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.