55

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G55

have to state and expound the exact definitions of "real probability,"
"independent," "fair sample," "predesignate," etc. As it
is, I will limit myself to a single needful explanation that, so far as I
know, the reader could not find definitely stated in any of
the books. It is that when we say that a certain ratio will have a
certain value in "the long run," (Printer: Do not [let] this be hyphened.) we refer to the
probability-limit of an endless succession of fractional
values; that is, to the only possible value from 0 to ∞, inclusive,
about which the values of the endless succession will never

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