A box has four dice in it. Three of them are fair dice but the fourth one has the number…

Mathematics · JEE Advanced · NTA ExamsStatistics and Probability

A box has four dice in it. Three of them are fair dice but the fourth one has the number five on all of its faces. A die is chosen at random from the box and is rolled three times and shows up the face five on all the three occassions. The chance that the die chosen was a rigged die, is
  1. \(\frac{216}{217}\)
  2. \(\frac{215}{219}\)
  3. \(\frac{216}{219}\)
  4. none

Answer

(C) 216 219

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