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?
Shotting B first 50.5% survival.
Shotting C first 72.5% survival.
Shotting the air 83.5% survival.