Question3. Each vertex of a triangle is colored white, black, green, blue, or orange. All configurations are equally probable. What is the probability that in a randomly chosen configuration there are exactly two vertices of the same color?

Studdy Solution
Determine the probability by dividing the number of favorable configurations by the total number of configurations:
$$\frac{60}{125} = \frac{12}{25}$$
The probability that there are exactly two vertices of the same color is:
$$\boxed{\frac{12}{25}}$$