5. Professors Smith, Jones and I, all wanting to teach a particular course have agreed to fight it out with a "trial" (a three-cornered version of a dual). The rules are as follows. We will each take a shot in rotation--first me (I made up the rules), then Smith, and then Jones. This continues until only one of us remains standing. On each turn, the shooter can decide on his target. Now, given my poor eyesight, I'm not that good of a marksman (A's and B's yes, guns and ammo definitely not). They call me "dead eye," but they mean it literally. My probability of hitting the target is only .30; P(F) = P(Fox hitting target) = .30. Smith is a perfect shot, P(S) = P(Smith hitting target) = 1.0, having a 100% chance of hitting his target. Finally, Jones shoots 50/50, that is P(J) = P(Jones hitting target) = .50. Given this scenario, what is my best strategy and why? (Note: This is a particularly challenging, "extra credit" problem)