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124

in the long run, in the slightest degree. Everybody
who has studied the doctrine of chances knows
this, though perhaps not everyone understands it quite as
clearly as he fancies he does, for not a
few are puzzled by what is precisely the
same thing, namely, the fact that it is not
logically impossible that an event whose probability
is zero should nevertheless occur on
millions of occasions.

For example, three men, A, B, and C, agree
to play a perfectly even game on the following
conditions. Only two can play at a time,
playing against each other; while the third
stands by to take the place of the first one
who goes out. At any one play one player

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