@snehal: will the shooting take place in increasing order of accuracy of hitting the target and is that at a time only one person can take a shot??? if yes then @Salil: my answer would be the same as above. what C will do is that it will first let A and B kill each other first. After C wastes his shot it will be B's turn. B can kill C, but in that case the turn would go to A and he would surely kill B. If B goes after A, then B may hit it or miss it(as its probability of hitting is 50%) If B misses it then it depends on A whom to kill. A may kill B or C. A will try to kill one who is better shooter i.e. B as C is less likely to hit A. If B hits A then we are done. Round 1 is complete(as required in the question) and C survives the first round. Look the problem is not that who gets killed at last but rather what C should fire in the first round obviously to survive(as I understood the problem). It may happen that eventually C gets killed. But what should C shoot in first round to survive.
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