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74

christmas gaiety. Suppose, however, that some old
frump with an insatiable appetite for statistics
to get hold of a die of that sort, and he will spend
his Christmas in throwing it and recording the
throws in order to find out the relative frequency
with which the different faces turn up. He assumes
that the different throws are independent of one
another and that the ten thousand or so which he makes
will give the same relative frequencies of
the different faces as would be found among
any similar large number of throws until
the die gets worn down. At least he can safely
assume that this will be the case as long as
the die is thrown out of the same box by
the same person in the same fashion.

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