+209 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.
+394 Probability of purple orangle purple:
\(\frac{2}{5}*\frac{3}{4}*\frac{1}{3}=\frac{1}{10}\)
Probability of orange purple orange:
\(\frac{3}{5}*\frac{1}{2}*\frac{2}{3}=\frac{1}{5}\)
\(\frac{1}{5}+\frac{1}{10}=\frac{3}{10}\).
The probability that the balls alternate is 3/10.
