Question: Suppose two dice are roiled. Find the probabilities of the following events.
a) the maximum of the two numbers rolled is less than or equal to 2:
b) the maximum of the two numbers rolled is less than or equal to 3:
c) The maximum of the tow numbers rolled is exactly equal to 3,
d) Repeat b) and c) for x instead of 3, for each x from 1 to 6,
e) Denote by p((x) the probability that the maximum number is exactly x. what should p(1) + p(2) + p (3) + p (4) p (5) + p (6) equal? Check this for your answers to d).