Reece has this information about 500 visitors who came to the art museum in one day:

\begin{tabular}{|c|c|c|}
\hline Visitor type & Aged less than 25 & Aged 25 and over \\
\hline International & 58 & 123 \\
\hline Regional & 53 & 180 \\
\hline Local & 24 & 62 \\
\hline
\end{tabular}

A visitor is chosen at random. What is the probability that this visitor is a regional visitor aged 25 and over? Give your answer as a decimal.

Space for working:

Your answer: [tex]$\square$[/tex]



Answer :

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]

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