On an early morning, three rivals get together on an open spot in a dark wood to compose a quarrel by means of guns. A kind of duel, but with three persons: A, B, and C. The rules of the game are:

• they draw lots who may fire first, second and third;
• next, they will continue firing at each other in this order until only a single person is alive;
• every person decides himself at which person he fires;
• everyone knows that A hits (kills) in 100% of all shots, B hits (kills) in 80% of all shots and C hits (kills) in 50% of all shots;
• each person chooses his ideal strategy;
• no one is killed by a stray bullet.

The question: Who has the largest chance of surviving the truel, and how big is this chance?

The answer: Click here!