66

122

as the smaller one. Thus, that question seems to be
satisfactorily answered.

A point which often puzzles those who
are entirely ignorant of the doctrine of chances
is that they think that if a coin has turned
up heads say ten times in succession,
—which will happen about once in a
thousand times,— since it must turn up heads
and tails in equal proportions,
the long run of heads must be followed
by throws among which there is an extra proportion
of tails, to balance the extra heads.
This of course is a great mistake. The extra
heads though they were a million would
not affect the relative frequency of heads