A JEE aspirant estimates that she will be successful with an 80 percent chance if she…

Mathematics · JEE Advanced · NTA ExamsStatistics and Probability


A JEE aspirant estimates that she will be successful with an 80 percent chance if she studies 10 hours per day, with a 60 percent chance if she studies 7 hours per day and with a 40 percent chance if she studies 4 hours per day. She further believes that she will study 10 hours, 7 hours and 4 hours per day with probabilities 0.1, 0.2 and 0.7, respectively
Given that she is successful, the chance she studied for 4 hours, is
  1. \(\frac{6}{12}\)
  2. \(\frac{7}{12}\)
  3. \(\frac{8}{12}\)
  4. \(\frac{9}{12}\)

Answer

(B) 7 12

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