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The Lucky Number 3

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Question: Suppose a man has 10 pairs of socks, 5 red, 5 blue, but he keeps them loose in his drawer. As he is dressing for dinner the light bulb in his room blows just as he is about to get his socks out, so he decides to take a few and put them on downstairs where he can see. How many socks, in minimum, would he have to take out of his drawer to ensure he had a matching pair? For the answer, find the lucky number 3 somewhere within this book/magazine.

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The lucky number 3 The answer is three, because if the first two are different colours, the third will definitely match one of them. If the first two are the same, that’s the job done. This is a good explanation of why we say ‘third time lucky’

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1.6 Independence of the events. Example: Drawings with Replacement Two balls are successively drawn from an urn that contains seven red balls and three.

1.6 Independence of the events. Example: Drawings with Replacement Two balls are successively drawn from an urn that contains seven red balls and three.

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