Example 10 - Chapter 13 Class 12 Probability

Last updated at April 16, 2024 by

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Example 10 A die is thrown. If E is the event ‘the number appearing is a multiple of 3’ and F be the event ‘the number appearing is even’ then find whether E and F are independent ? A die is thrown S = {1, 2, 3, 4, 5, 6} Given two events be E : the number appear is a multiple of 3 F : the number appearing is even E : {3, 6} P(E) = 2/6 = 1/3 F : {2, 4, 6} P(F) = 3/6 = 1/2 Also, E ∩ F = {6} ∴ P(E ∩ F) = 1/6 Now, P(E) . P(F) = 1/3 × 1/2 = 1/6 = P(E ∩ F) Since, P(E ∩ F) = P(E) . P(F) Therefore, E & F are independent events

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.