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To solve this probability problem, let's analyze the data provided.

We want to find the probability that a shopper selected at random both:
1. Made a purchase.
2. Was satisfied with the service.

### Step 1: Identify Relevant Numbers
From the table, we can see:
- The total number of shoppers surveyed is **1522**.
- The number of shoppers who made a purchase and were satisfied with the service is **130**.

### Step 2: Set Up the Probability
The probability \( P \) that a randomly selected shopper made a purchase and was satisfied with the service is given by:
\[
P = \frac{\text{Number of shoppers who made a purchase and were satisfied}}{\text{Total number of shoppers}}
\]
Substituting the values:
\[
P = \frac{130}{1522}
\]

### Answer
The probability that a shopper selected at random made a purchase and was satisfied with their service is:
\[
\frac{130}{1522}
\]

If you need any further clarification or details, feel free to ask!

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Here are some additional questions to consider:
1. What is the probability that a shopper made a purchase but was not satisfied with the service?
2. What is the probability that a shopper did not make a purchase but was satisfied with the service?
3. What is the probability that a randomly selected shopper was not satisfied with the service at all?
4. What is the probability that a shopper who made a purchase was satisfied with the service?
5. What is the probability that a shopper who did not make a purchase was not satisfied with the service?

**Tip:** When dealing with probabilities in a contingency table, always ensure you correctly identify the total values to set up the fraction accurately.

What is the probability that a shopper selected at random made a purchase and was satisfied with their service?

Calculate the probability that a randomly selected shopper made a purchase and was satisfied with the service based on a survey of 1522 customers at a major retailer. This example demonstrates probability calculation using fractions and data interpretation skills, suitable for students in Grades 6-8.

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