Probability that two items drawn without replacement from three colour groups match

Probability that two items drawn without replacement from three colour groups match

6 marks

A drawer holds \(15\) loose socks, of which \(6\) are black, \(5\) are grey and \(4\) are white. Two socks are taken from the drawer at random, without replacement. Find the probability that the two socks are the same colour.[6]

Solution:

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Answer:\(\dfrac{31}{105}\)

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