+1556 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.
+1950 There are two seperate cases we need to consider.
First off, we have orange, purple, orange.
The probability of this is 35∗24∗23=1/5
The other case is when we have purple, orange, purple.
The probability of this is 25∗34∗13=1/10
Adding these two up, we get
15+110=210+110=310
So our answer is 3/10 or 30%.
Thanks! :)
