We will make the follwoing probability assumptions:
When team A plays team B, the probability that team A wins is given by:
P(A wins) = \(([seed(B)+3]^2)/([seed(A)+3]^2 +[seed(B)+3]^2) \)
Your task is to write a Monte Carlo computer simulation to play the tournament 10,000 times and answer the following questions, under our probability assumptions.
What is the probability that each of the seeds, 1-16, makes it to the final four?
What is the probability that each of the seeds, 1-16, wins the championship?