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For example, in Prop 1, the beginning of the second paragraph.

Suppose there be three such events, and which ever of them happens I am to receive N, and that the probability of the 1st, 2d, and 3d are respectively $\frac{a}{N}$,$\frac{b}{N}$,$\frac{c}{N}$.

What does 'N' mean here? Also, what is the meaning of the expression, 'I am to receive N'?

The essay can be found here: http://www.stat.ucla.edu/history/essay.pdf

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    $\begingroup$ It looks like an old fashioned way of saying that N is the number of trials, what we get if we count “whichever of them happens”. $\endgroup$ – Richard Ambler Jan 1 at 10:54

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