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given succession of occurrences are independent
of one another and if they are not independent
what the nature of the law of their succession is.

In the second variety of statistical
induction, we are supposed to know whether
the occurrences are independent or not, and if
not, exactly how they are connected,
and the inquiry is limited to ascertaining
what the ratio of frequency is, after the
effects of the law of succession have
been eliminated. As a very simple example,
I will take the following. The dice that are
sold in the toy shops as apparatus for games that
are sold are usually excessively irregular.
It is no great fault, but rather enhances the