1. (15 points) Assume we have two weighted diceone white dice, and one red dice. For each die, 1 and 6 are twice as likely to show as the other four values. We roll the two dice once. Answer the following questions: Hint: you can dene two random variables where each of them corresponds to the number shown on each die. You can assume the two random variables are independent (because the output of one die will not affect the output of the other die). a. What is the probability that the total showing on the two dice will be 7? b. What is the probability that the total showing on the two dice will be 9 or higher? 0. What is the probability that the red die will show a higher number than the white one