A single elimination tournament with four players is to be held. A total of three games will be played. In Game 1, the players seeded (rated) first and fourth play. In Game 2, the players seeded second and third play. In Game 3, the winners of Games 1 and 2 play, with the winner of Game 3 declared the tournament winner. Suppose that the following probabilities are known:
P(Seed 1 defeats Seed 4) = 0.8
P(Seed 1 defeats Seed 2) = 0.6
P(Seed 1 defeats Seed 3) = 0.7
P(Seed 2 defeats Seed 3) = 0.6
P(Seed 2 defeats Seed 4) = 0.7
P(Seed 3 defeats Seed 4) = 0.6
a. How would you use random digits to simulate Game 1 of this tournament?
b. How would you use random digits to simulate Game 2 of this tournament?
c. How would you use random digits to simulate the third game in the tournament? (This will depend on the outcomes of Games 1 and 2.)
d. Simulate one complete tournament, giving an explanation for each step in the process.