In the Wild West, you are challenged into a death match by two bounty hunters nicknamed Golden Revolver (GR) and Killer Boots (KB). You accept the challenge. None of you want to waste any of the bullet and so a certain rules are laid down:
1) All of you will shoot in a given order till the last man standing.
2) Each of you shoots only once upon his turn.
3) If any one of you is injured, the other two will finish him off with iron rod.
4) The worst shooter of all (which is you) shoots first and the best one shoots at the last.
Now, how will you plan things if you know that you hit every third shot of yours, KB hits every second shot and GR hits every shot ?
The best thing you can do is shooting your first shot in the air.
Suppose if you shoot KB and hit him by luck, you are certainly dead as GR never misses.
If you shoot on GR first and hits him luckily, there is a fifty percent probability that you will die before your next chance.
But if you shoot in the air, KB will definitely shoot on GR as he knows that he is a better shooter. If he misses somehow, then, he is dead and if he hits then, GR is dead.
Now it’s your turn to shoot and you stand a 1/3 chance that you will hit.
This is the best situation you can have. Doing anything else will bring you under worse situation for sure.