Ten red socks and ten blue socks are all mixed up in a dresser drawer. The 20 socks are exactly alike except for their colour. The room is in pitch darkness and you want two matching socks. What is the smallest number of socks you must take out of the drawer in order to be certain that you have a pair that match?
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When you will take out 2 socks, you wouldn't be ale to figure it out whether it is a pair or not, because the probability is 1 0 1 . But, when you will take out 3 socks, you would have a probability of 2 0 3 . Hence 2 of the three will be of the same color.