Brainteasers

The Truel ★★★

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!