Question

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.

Answer 1

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.

http://www.google.com/search?client=safari&rls=en&q=math+tree+diagram&ie=UTF-8&oe=UTF-8

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