Three contestants, A, B, and C, each have a balloon and a pistol. From fixed positions, they fire at each other"s balloons. When a balloon is hit, its owner is out. When only one balloon remains, its owner gets a $1000prize. At the outset, the players decide by lot the order in which they will fire, and each player can choose any remaining balloon as his target. Everyone knows that A is the best shot and always hits the target, that Bhits the target with probability .9, and that C hits the target with probability .8. Which contestant has the highest probability of winning the $1000? Explain why.