Joseph and Francis would like to shoot each other. Each has a gun with six bullets, makes the rst shot at the same time, and agrees to stop shooting once either of them gets shot or after 80 s from the rst shot. Joseph and Francis can shoot a moving target successfully 20% and 30% of the time, respectively, but Francis Spends 40 s preparing for the succeeding shot while Joseph needs 20 5. Who has more chance of being shot? What is his probability of being shot