The a die is painted so that three sides are red two sides are blue and one side is green. Thus rolling the die has 3 possible outcomes, r,b,g. This die is rolled twice. Denote the nine possible outcomes by RR, RB, etc.
a) Find the probability of each element of the sample space.
b) What is the probability that at least one roll will be red?
c) What is the probability that neither roll is blue?
d) What is the probability that the two rolls will have different colors?