You are in a free-for-all shootout involving three people, and by some rotten luck, you are the worst shooter of the group. You, shooter
A, hit your target 33% of the time.
The other two,
B and
C, have 50% and 100% accuracy respectively.
At least you get to shoot first, with B going after you, and C going last. Everyone takes turns shooting until all but one are dead.
Who will you fire at in the first round to maximize your odds of survival?
(In reply to
re(2): So close! by TomM)
I'm assuming A should try to hit someone because the question asks whom A should fire at. If we're thinking outside the box, I'd say that A shouldn't fire at all, stalling the rotation completely according to the problem.