CBSE Class 12 Sample Paper for 2019 Boards
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CBSE Class 12 Sample Paper for 2019 Boards
Last updated at Dec. 16, 2024 by Teachoo
Question 11
If A and B are two independent events, prove that A’ and B are also 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
