Suppose Y1, Y2 denote the probabilities of wins for two players Mag and Prag and Y1, Y2 follow a Dirichlet distribution with parameters 5, 3 and 2. Write down the probability distributions of Y1, Y2, write down their means and variances, write down the covariance between Y1, Y2. Calculate the probability that Y1 > Y2 + 0.2 and Y1 < 1 - Y2. Suppose Y1, Y2 denote the probabilities of wins for two players Mag and Prag and Y1, Y2 follow a Dirichlet distribution with parameters 5, 3 and 2. Write down the probability distributions of Y1, Y2, write down their means and variances, write down the covariance between Y1, Y2. Calculate the probability that Y1 > Y2 + 0.2 and Y1 < 1 - Y2.