Question

19 rotten bananas are accidentally mixed with 136 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 132/155 Correct Answer Incorrect Answer
B 136/157 Correct Answer Incorrect Answer
C 136/155 Correct Answer Incorrect Answer
D 136/105 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 = 136 + 19 = 155 bananas P(E) = (Number of favourable outcomes) / (Total number of outcomes) P(picking a good banana) = 136/155 

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