Sure, let's find the probability that a visitor chosen at random from the art museum is a regional visitor who is aged 25 and over.
The total number of visitors is given as 500.
From the table, the number of regional visitors aged 25 and over is 180.
The probability of choosing a regional visitor aged 25 and over can be found by dividing the number of regional visitors aged 25 and over by the total number of visitors.
[tex]\[
\text{Probability} = \frac{\text{Number of regional visitors aged 25 and over}}{\text{Total number of visitors}}
\][/tex]
Substituting the given values:
[tex]\[
\text{Probability} = \frac{180}{500}
\][/tex]
When this fraction is simplified, it equals 0.36.
Therefore, the probability that a randomly chosen visitor is a regional visitor and aged 25 and over is 0.36.
Your answer: [tex]\(\boxed{0.36}\)[/tex]
