Here's a more likely scenario: Approaching endgame, there
are 10 "resolved" fights that remain to be played out.  The
program estimates is won 5 of them and lost 5 of them,
each with 85% confidence.  The sizes of the groups is
such that any single switch from won to lost will swing
the game.  The probability of one such flip is pretty high.

If one of the groups is much larger, you should go for the big
group, because if it switches, the game is flipped irrevocably,
whereas if one of the small groups flips, it might be corrected
by switching status of another group. 

That's why you should play for the big win, or to avoid the
big loss.  It swamps all the other uncertainties.

Of course, current programs don't see the situation with
anything approaching this level of analysis, but given
a choice or a big win or a small win with slightly higher
probability, I suspect that detailed analysis would be
similar to the above.

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