A bag contains $4$ orange balls and $5$ purple balls. Raina draws three balls out of the bag, one at a time, without replacement. What is the probability that the colors of the balls alternate?
So I'm not sure where to start with this problem? Could somebody explain? I would appreciate it :)
To alternate, Raina would have orange blue orange
or blue orange blue
for orange blue orange: 4/9 * 5/8 * 3/7 <====== add this to the next scenario
for blue orange blue : _____________ can you finish?