Simple methods will soon lead us to results of far reaching theoretical and practical importance. We shall encounter theoretical conclusions which not only are unexpected but actually come as a shock to intuition and common sense. They will reveal that commonly accepted notions concerning chance fluctuations are without foundation and that the implications of the law of large numbers are widely misconstrued.

Chapter III, Fluctuations In Coin Tossing And Random Walks, p. 67. - An Introduction To Probability Theory And Its Applications (Third Edition)