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jasirs94 at Mar 25, 2017 10:27 PM

55

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

55

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