<pre>
All you need to consider are the six possible bullet configurations

    B B B E E E         -> player 1 dies
    E B B B E E         -> player 2 dies
    E E B B B E         -> player 1 dies
    E E E B B B         -> player 2 dies
    B E E E B B         -> player 1 dies
    B B E E E B         -> player 1 dies

One therefore has a 2/3 probability of winning (and a 1/3 probability of
dying) by shooting second.  I for one would prefer this option.
</pre>
