posted by Anonymous .
a. A box contains three white balls and two red balls. A ball is drawn at random from the box and not replaced. Then a second ball is drawn from the box. Draw a tree diagram for this experiment and find the probability that the two balls are of different colors
b. Suppose that a ball is drawn at random from the box in part (a), its color is recorded, and then the ball is put back in the box. Draw a tree diagram for this experiment and find the probability that the two balls are of different colors.
I don't know how to draw a tree diagram on this message board. However, in a, remember that the number of balls is reduced after each pick.
a. R then W = 2/5*3/4 = .3
W then R = 3/5*2/4 = .3
The either-or probability = sum of individual probabilities.
b. R then W = 2/5*3/5 = 6/25
W then R = 3/5*2/5 = 6/25