Let A and B be two independent events such that P A = 1 3 and P B = 1 6 . Then, which of the following is…

Let A and B be two independent events such that PA=13 and PB=16. Then, which of the following is true?
  1. PAB=23
  2. PAB'=13
  3. PA'B'=13
  4. PAA∪B=14

Solution

A & B are independent events, so
PAB'=P(A∩B')P(B')=P(A)·P(B')P(B')=P(A)=13

Asked in: JEE Main 2020 (08 Jan Shift 1)

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