all questions with explanation Three experts of probability A, B, and C are having a trio duel. The goal of each man is to survive and meanwhile to kill as many rivals as possible at the end of the duel. The duel consists of multiple rounds. In each round the three rivals shoot at one another at the same time and each person has only one bullet. Suppose that in all cases A, B, and C will always kill a rival by one shot with probabilities 0.8, 0.7, and 0.5, respectively, and this is known to everyone. (f) Find the corresponding probabilities for A, B, and C, respectively, to survive the third round (h) Who has the largest probability to survive? Is the strongest fittest (i.e., the best shooter most likely to survive)? Do your results make sense? Discuss implications of your results