35

66

notation, to over seven hundred figures. Now
as there is not the slightest reason to suppose
that any law expressible in a finite time connects
the value of π with the decimal notation
or with any whole number, we may presume
that the recurrences of any figure say 5 in
that succession are independent of one
another and that there is simply a probability
of 1/10 that any figure will be a 5.

In order to illustrate this mode of induction,
I have made a few observations on the calculated
number. There ought to be, in 350 successive
figures, about 35 fives. The odds are about
2 to 1 that there will be 30-39 [and]
3 to 1 that there will be 29-41.
Now I find in the first 350 figures 33 fives,