Question

16 rotten bananas are accidentally mixed with 155 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 125/171 Correct Answer Incorrect Answer
B 135/171 Correct Answer Incorrect Answer
C 155/171 Correct Answer Incorrect Answer
D 106/171 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 = 155 + 16 = 171 bananas P(E) = (Number of favourable outcomes) / (Total number of outcomes) P(picking a good banana) = 155/171

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