Let A and B be two independent events such that P(A)= 1 3 and P(B)= 1 6 . Then which of…

Mathematics · JEE Main · NTA ExamsStatistics and Probability

Let A and B be two independent events such that \(P(A)=\frac{1}{3}\) and \(P(B)=\frac{1}{6}\). Then which of the following is TRUE?
  1. \(P^{2}\left(\frac{A^{\prime}}{E^{\prime}}\right)=\frac{1}{3}\)
  2. \(f\left(\frac{A}{B}\right)=\frac{2}{3}\)
  3. \(P^{2}\left(\frac{A}{B^{\prime}}\right)=\frac{1}{3}\)
  4. \(P\left(\frac{A}{(A \cup B)}\right)=\frac{1}{4}\)

Answer

(D) P ( A (A B) )= 1 4

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