It is given that the event A and B are such that P ( ~A )= 1 4 , P ( ~A ~B )= 1 2 and P (…

Mathematics · JEE Advanced · NTA ExamsStatistics and Probability

It is given that the event A and B are such that \(\mathrm{P}(\mathrm{~A})=\frac{1}{4}, \mathrm{P}\left(\frac{\mathrm{~A}}{\mathrm{~B}}\right)=\frac{1}{2}\)and \(\mathrm{P}\left(\frac{\mathrm{~B}}{\mathrm{~A}}\right)=\frac{2}{3}\). Then P (B) is
  1. \(\frac{1}{2}\)
  2. \(\frac{1}{6}\)
  3. \(\frac{1}{3}\)
  4. \(\frac{2}{3}\)

Answer

(C) 1 3

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