Raina places the following balls into a bag. She then draws three balls out of the bag, one at a time, without replacement. What is the probability that the colors of the balls alternate?
There are 4 orange balls and 4 purple balls.
2 * (4/8) (4/7) (3/6) (3/5) (2/4) (2/3) (1/2) (1/1) = 1/35
+1439 
