A and B are two events. Odds against A are 2 : 1. Odds in favour of A B are 3 : 1. If x…

Mathematics · JEE Main · NTA ExamsStatistics and Probability

A and B are two events. Odds against A are 2 : 1. Odds in favour of \(A \cup B\) are 3 : 1. If \(x \leq P(B) \leq y\), then the ordered pair (x, y) is
  1. \(\left(\frac{5}{12}, \frac{3}{4}\right)\)
  2. \(\left(\frac{2}{3}, \frac{3}{4}\right)\)
  3. \(\left(\frac{1}{3}, \frac{3}{4}\right)\)
  4. none of these

Answer

(A) ( 5 12 , 3 4 )

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