Two French aristocrats, Chevalier Chagrin and Marquis de Renard, fight a duel. Each
has a pistol loaded with one bullet. They start 6 steps apart and walk toward each
other at the same pace, 1 step at a time. After each step, either may fire his gun. When
one shoots, the probability of scoring a hit depends on the distance and the ability of
the players. Chevalier Chagrin is better at shooting than Marquis de Renard. Below
table shows the probability of scoring a hit given the step and the player.