Consider 5 independent Bernoulli's trials each with probability of success p. If the…

Mathematics · JEE Main · NTA ExamsStatistics and Probability

Consider 5 independent Bernoulli's trials each with probability of success p. If the probability of at least one failure is greater than or equal to \(\frac{31}{32} .\) then p lies in the interval
  1. \(\left[\frac{3}{4}, \frac{11}{12}\right]\)
  2. \(\left[0, \frac{1}{2}\right]\)
  3. \(\left(\frac{11}{12}, 1\right)\)
  4. \(\left(\frac{1}{2}, \frac{3}{4}\right)\)

Answer

(C) ( 11 12 , 1 )

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