38

70

no regularity at all in the recurrence of the 5's, there
ought among these 70 sets of ten numbers each
to be 27 that contained just one five each; and
the odds against there being more than 32 of
the seventy sets that contain just one five each is
about 5 to 1. Now it turns out upon examination
that there are 33 of the sets of ten figures
which contain just one 5. It thus seems as if
my surmise were right that the figures will be
a little more regularly distributed than they
would be if they were entirely independent of one
another. But there is not much certainty
about it. This will serve to illustrate
what this kind of induction is like, in
which the question to be decided is how far a