### Home > CCA2 > Chapter C > Lesson C.1.2 > ProblemC-32

C-32.

On Friday, Randy Random went to DJ’s Gourmet Ice Cream Shop to get a cone. With temperatures over $95°$, there were only five flavors left to choose from. Homework Help ✎

1. If he made a random selection, what is the probability that he got all three scoops the same?

Once the first scoop is chosen, there is no choice for the second or third scoop.

$\text{P}(\text{all the same})\ = \frac{\text{number of ways all the same}}{\text{total number of ways}}=\frac{5}{5\cdot 5\cdot 5}$

2. What is the probability that he got all three different?

How many choices are there for the first scoop? Once the first scoop is chosen, how many choices are there for the second scoop? What about the third scoop?