Probability that two sweets taken without replacement have different flavours

Probability that two sweets taken without replacement have different flavours

4 marks

A jar holds \(16\) sweets: \(8\) are strawberry, \(5\) are lemon and \(3\) are orange. A child takes two sweets from the jar at random, one after the other, without putting the first one back. Find the probability that the two sweets have different flavours.[4]

Solution:

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Answer:\(\dfrac{79}{120}\)

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