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AP EAMCET20226 Jul 2022Evening ShiftMathematicsProbabilityActual

An unbiased dice with faces marked 1, 2,3, 4,5 , and 6 is rolled four times. Out of four face values obtained, the probability that the minimum face value is not less than 2 and the maximum face value is not greater than 5 is

Options

  1. A16 / 81
  2. B1 / 81
  3. C80 / 81
  4. D65 / 81

Correct answer

A. 16 / 81

Step-by-step solution

Here, the face value should be 2, 3, 4, 5 . P (getting a number not less than 2 and not more than 5 in a single throw) = 4 6 = 2 3 Required probability = ( 2 3 )^4= 16 81

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