Aron, Bob and Charlie, three gunslingers, decide to have a shootout under the following unusual conditions:
After drawing lots to determine who will be the 1st, 2nd and 3rd shooter, they take their place at the corners of an equilateral triangle, i.e. they are all equidistant from each other. It is decided that each person takes a shot in the order determined and that this continues until 2 of the 3 are dead. It is known that Aron always kills what he aims at. Bob has an 80% chance of killing his target, while Charlie has just a 50% of the same.
Assuming that each gunslinger uses the best possible strategy, which gunslinger has the best chance of survival?