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AP EAMCET202421 May 2024Morning ShiftMathematicsProbabilityActual

A basket contains 12 apples in which 3 are rotten. If 3 apples are drawn at random simultaneously from it, then the probability of getting atmost one rotten apple is

Options

  1. A34 55
  2. B48 55
  3. C21 55
  4. D42 55

Correct answer

B. 48 55

Step-by-step solution

Case 1: When No rotten apple is drawn then, No. of ways = ^9 C ₃=84 Case 2: When 1 rotten apple is drawn then, No. of ways = ^9 C ₂ ^3 C ₁= 9 8 3 2 =12 9=108 Total no of ways of drawing 3 apples = ¹² C ₃ Required probability = (84+108) ¹² C ₃ = 48 55

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