If (1+3 p ) 3 , (1- p ) 4 (1-2 p ) 2 are the probabilities of three mutually exclusive…

Mathematics · JEE Advanced · NTA ExamsStatistics and Probability

If \(\frac{(1+3 \mathrm{p})}{3}, \frac{(1-\mathrm{p})}{4} \& \frac{(1-2 \mathrm{p})}{2}\) are the probabilities of three mutually exclusive events defined on a sample space S, then the true set of all values of p is
  1. \(\left[\frac{1}{3}, \frac{1}{2}\right]\)
  2. \(\left[\frac{1}{3}, 1\right]\)
  3. \(\left[\frac{1}{4}, \frac{1}{3}\right]\)

Answer

(A) [ 1 3 , 1 2 ]

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