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: Question by levik)
If you shoot and miss, regardless of your target, the situation is the same. The only difference occurs if you actually hit your target. If you shoot B and hit, C will kill you immediately afterword. If you shoot C and hit, B only has a 50-50 chance of hitting you. So shoot C.
In that case...
