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10 THE DOCTRINE OF CHANCES.
chances of throwing 16 points with four dice. Let 16 be subtracted from 28, the sum of the two extremes, 4 and 24, and the remainder will be 12; from which it may be concluded that the number of chances for throwing 16 points is the same as throwing 12 points. 







Problem 6.
If A and B play together, and A wants hut one game of being up, and B two, what are their respective probabilities of winning ?
It must be recollected that the set will necessarily be ended in two games at most; for if A 
