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The image contains a probability problem based on customer satisfaction data from a hair salon. Let's break it down:

### The table shows the following dataThe image contains a probability problem based on customer satisfaction data from a hair salon. Let's break it down:

### The table shows the following 

| Satisfaction Level | Walk-in | TV Ad | Referred | Total |
|--------------------|---------|-------|----------|-------|
| Dissatisfied       | 22      | 10    | 7        | 39    |
| Neutral            | 19      | 26    | 34       | 79    |
| Satisfied          | 35      | 42    | 62       | 139   |
| Very Satisfied     | 30      | 33    | 47       | 110   |
| **Total**          | 106     | 111   | 150      | 367   |

There are five sub-questions asking for the probabilities:

1. **(a) The probability that a customer is dissatisfied**  
   We use the total number of dissatisfied customers (39) divided by the total number of customers (367).
   \[
   P(\text{Dissatisfied}) = \frac{39}{367}
   \]

2. **(b) The probability that a customer is dissatisfied and came through a TV ad**  
   The number of dissatisfied customers from TV ads is 10. So:
   \[
   P(\text{Dissatisfied and TV ad}) = \frac{10}{367}
   \]

3. **(c) The probability that a customer came by referral**  
   The total number of referred customers is 150. So:
   \[
   P(\text{Referred}) = \frac{150}{367}
   \]

4. **(d) The probability that a customer is very satisfied, given that they were referred**  
   This is a conditional probability. The number of referred customers who are very satisfied is 47, and the total number of referred customers is 150.
   \[
   P(\text{Very Satisfied | Referred}) = \frac{47}{150}
   \]

5. **(e) The probability that a customer is either very satisfied or came through a TV ad**  
   This is the union of two events: being very satisfied (110) or coming through a TV ad (111). We must subtract the overlap, i.e., the customers who are very satisfied and came through a TV ad (33).
   \[
   P(\text{Very Satisfied or TV ad}) = \frac{110 + 111 - 33}{367}
   \]

Would you like me to calculate the exact probabilities, or provide more details on any step?

Here are 5 related questions for further understanding:
1. How do we calculate probabilities for multiple independent events?
2. What is the difference between conditional probability and joint probability?
3. How can we calculate the probability of two events both occurring?
4. Can the events in this problem be considered independent? Why or why not?
5. How would the probabilities change if one of the customer categories (e.g., walk-ins) were removed?

**Tip:** When dealing with probabilities, always ensure the sum of probabilities for all outcomes equals 1, which verifies accuracy.

A hair salon completed a survey of 367 customers about satisfaction with service and type of customer. The probability queries involve the following satisfaction data from walk-ins, TV ad viewers, and referred customers.

Solve a probability problem based on customer satisfaction data from a hair salon's survey of 367 customers. Learn how to calculate probabilities for dissatisfaction, TV ads, referrals, and conditional probabilities.

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