Question

Who will have the highest chances for surviving in the truel and how much is the chance? Once upon a time there were three rivals who got together in a dark wood on an open spot for composing a quarrel by using guns. It was a kind of duel but there were three people in it and therefore it is a truel. There were A, B and C. there was some rules to be followed in the game. The rules of the games were: -They have to draw the lots in order to find who will fire first and who will be second and who will be third. - The next rule is that, they will start firing on each other unless there is a last person alive. - Each person will decide on his own about which person he will fire on. -it is quite clear that A hits and kills in all the shots and it is 100%. Whereas 80% of the shots are hit by B and C hits in 50% of the shots he tries to fire in. the three persons have their own strategy for firing. Nobody is killed by the stray bullet.

Answer 1

The person C will have the highest chances of survival. Proof
Person A hits = 1
Person A misses = 0
Person B hits = 4/5
Person B misses = 1/5
Person C hits = 1/2
Person C misses = 1/2

Answer 2

the person C will have the highest chances of survival. ... Person A hits = 1...... Person A misses = 0....... Person B hits = 4/5........ Person B misses = 1/5...... Person C hits = 1/2...... Person C misses = 1/2......