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 3 orange balls and 2 purple balls.
OPO = (3/5)(2/4)(2/3) = 1/5
POP = (2/5)(3/4)(1/3) = 1/10
1/5 + 1/10 = 3 / 10