Suppose you have $5$ boxes, each of which contains a red ball, a blue ball, a green ball, a yellow ball and a white ball.
If you draw a ball at random from each box, what is the probability that there are exactly two balls of the same color?
Stuck a small amount with this question:
The probability of getting two balls of the same color is
$$P(\text{$2$ Same Color}) = 1 \cdot \frac{1}{5} \cdot \frac{4}{5} \cdot \frac{3}{5} \cdot \frac{2}{5} = \frac{24}{625}$$
Then just multiplying $P(\text{$2$ Same Color})$ by $5$ as there are $5$ different colors of balls so you could get $2$ whites or $2$ reds etc,
That gives you
$$\frac{24}{625} \cdot 5 = \frac{24}{125}$$
Not sure what the answer to this is just looking for someone to tell me if I'm on the right track or completely wrong.