A truel is like a duel except there are three players involved. We will call them player A, player B

A truel is like a duel except there are three players involved. We will call them player A, player B, and Player C. Each player comes with his probability of hitting a target. Player A hits a target with probability pA=0.9, Player B with probability pB=0.7 and Player C with probability pC=0.25. The game is played by rounds. At each round the players shoot at each other simultaneously, hence their speed doesn’t ONLY ONE player is still alive or if all three of them are dead. We assumed that each player has infinitely many bullets.