1 Dice Problem 1 We roll two standard six-sided dice. Assume the outcomes of two rolls are independent. Calculate the probability of the following events. .The two dice show the same mumber. . The number on the first die is strictly larger than (i.e. >) the number on the second one The number on the first die is greater equal to (i.e. ) the number on the second one . The sum is odd. . The product of the numbers is a perfect square. If you don't know what a perfect square is, Google it