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      Question

      20 rotten bananas are accidentally mixed with 134 good

      ones. It is not possible to just look at a banana and tell whether or not it is rotten. One banana is taken out at random from this lot. Determine the probability that the banana is taken out is a good one.
      A 60/77 Correct Answer Incorrect Answer
      B 61/77 Correct Answer Incorrect Answer
      C 67/77 Correct Answer Incorrect Answer
      D 67/75 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Numbers of bananas = Numbers of rotten bananas + Numbers of good bananas ∴ Total number of bananas = 134 + 20 = 154 bananas P(E) = (Number of favourable outcomes) / (Total number of outcomes) P(picking a good banana) = 134/154 = 67/77 

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