Misc 7 - Is it true that P(A) U P (B) = P (A U B) - Sets - Miscellaneous

  1. Chapter 1 Class 11 Sets
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Misc 7 Is it true that for any sets A and B, P (A) P (B) = P (A B)? Justify your answer. (We take an example to see if it is false, if it is false, we take an example to prove it) Let A = {0, 1} and B = {1, 2} A B = {0, 1, 2} P(A B) = { , {0}, {1}, {2}, {0, 1}, {1, 2}, {0, 2}, {0, 1, 2} } P(A) P(B) P(A B) So, the given statement is False P(A) = { , {0}, {1}, {0, 1}} P(B) = { , {1}, {2}, {1, 2}} P(A) P(B) = { , {0}, {1}, {0, 1}, {2}, {1, 2}}

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.