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AP EAMCET202315 May 2023Morning ShiftMathematicsProbabilityActual

If four dice are thrown simultaneously, then the probability that none of the dice shows the number 1 on its face, is

Options

  1. A625 1296
  2. B125 648
  3. C1250 1296
  4. D625 2592

Correct answer

A. 625 1296

Step-by-step solution

Since there are 6 total samples. Hence the probability of getting number 1 on face = 1 6 Probability of not getting number 1 on face of a dice =1- 1 6 = 5 6 Since 4 dice are thrown simultaneously. Hence probability of not getting number 1 on face of any of the dice = ( 5 6 ) ( 5 6 ) ( 5 6 ) ( 5 6 )= 625 1296

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