There are eight balls in an urn. They are identical except for color. Three are red, four are blue, and one is yellow. You are to draw a ball from the urn, note its color, and set it aside. Then you are to draw another ball from the urn and note its color.

(a). Make a tree diagram to show all possible outcomes of the experiment.

(b). Let P(x, y) be the probability of choosing an x-colored ball on the first draw and a y-colored ball on the second draw. Compute the probability for each outcome of the experiment. (Enter your answers as fractions.)

P(R, R) =
P(R, B) =
P(R, Y) =
P(B, R) =
P(B, B) =
P(B, Y) =
P(Y, R) =
P(Y, B) =