CBSE Class 12 Sample Paper for 2019 Boards

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Question 11 - CBSE Class 12 Sample Paper for 2019 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at April 16, 2024 by

Question 11

If A and B are two independent events, prove that A’ and B are also independent

If A and B are two independent events, prove that A’ and B independent

Transcript

Question 11 If A and B are two independent events, prove that A’ and B are also independent Two events A and B are independent if P(A ∩ B) = P(A) . P(B) Now, P(A’ ∩ B) = P(not A and B) (Since A & B are independent events) = P(B) – P(A ∩ B) = P(B) – P(A) . P(B) = P(B) ( 1 – P(A)) ) = P(B) . P(A’) Since P(A’ ∩ B) = P(A’) . P(B) Hence, A’ & B are independent

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Davneet Singh

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.