Let X and Y be two events such that P(X Y)= 1 2 P(Y X)= 1 3 and P(X Y)= 1 6 Which of the…

Mathematics · JEE Advanced · NTA ExamsStatistics and Probability

Let X and Y be two events such that \(P(X \mid Y)=\frac{1}{2}\)\(P(Y \mid X)=\frac{1}{3}\) and \(P(X \cap Y)=\frac{1}{6}\)
Which of the following is(are) correct?
  1. X and Y are independent
  2. X and Y are not independent

Answer

(C) X and Y are not independent

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