Two fair dice are tossed, and a "success" is defined to be that the sum of the two numbers obtained is 8. (a) Find the value of p, where p represents the probability of a "success". Hint: It is helpful to consider a simple grid: 1 2 3 4 5 6 1(b) Suppose that the two dice will be tossed seven times. What is the probability that a "success" will be obtained at most once from those seven attempts? Give your answer to 3 decimal places. Solution: Let X be the number of "successes" from the 7 attempts. This X is binomial, with n = and p = (found in (a))