Keep on moving, then, and when you score a point, rejoice only because it proves that scoring is one of your possibilities, and that you are likely to score many others before your race is run. LUCK IN THE LIBRARY “It is better to be born lucky than rich”, says the old proverb. “Is he lucky?” Napoleon used to ask when anyone was recommended to him. Literature is full of allusions to luck; history is full of the belief in it and of the influence of that belief on the course of events. Do I believe in luck? Most assuredly, if you will allow me to frame my own definition. One of the most important and fascinating branches of modern mathematics--the theory of chances or probabilities, deals with what may be called luck, and with its laws. Chance, we are told, is “the totality of unconsidered causes”. When an event is conditioned entirely by chance we say that it came about by “luck”, though the unconsidered causes are there just the same. A tyrant, we will say, stakes his victim’s life on the cast of a die. Whether he perishes or not is solely a matter of good or bad “luck”. When a basket contains ten marbles, of which five are black and five are white we know that in the long run the number of black and white marbles drawn at random tends toward equality, and we express this by saying that the chance of drawing either black or white is one in two, or ½. Whether black or white appears at any single drawing is purely a matter of luck. In this sense, luck confronts us at every turn, and no one can deny its existence. Now let us go a little further. May chance happenings be affected by circumstances that have no apparent connection with them? Doubtless; but so far as they are they are no longer subject to the laws of chance. It is because we know this that we are able to study nature by experiment. If in a long series of drawings, from a basket containing an equal number of black and white marbles, we draw chiefly black, we recognize at once the fact that some cause, distinct from the mass of slight and unconsidered causes whose combined action we know as “chance”, is acting. We try at once to get at that cause by varying the conditions. If we find, for instance, that by plunging the hand deeper into the basket we get white balls as well as black, we conclude that the white balls were heavier and so settled to the bottom when the mass was shaken. So it may be that a particular series of happenings may be affected by locality, by personality or by season. So far as this is true, chance or “luck” has ceased to act and we must look for the cause. These, however, are precisely the circumstances in which many persons are accustomed to invoke a luck of higher grade and more potent qualities, a luck that clings to person, place, or time. If in a series of happenings more turn out to the advantage of a particular person than pure chance would warrant, he is said to be “lucky”. In other words, the necessity of assigning a cause