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To solve this problem, we need to find the conditional probability that a person is from California, given that they prefer brand A pasta.

### Given Table:
- **Texas**:
  - Brand A: 80
  - Brand B: 45
  - Total: 125
- **California**:
  - Brand A: 90
  - Brand B: 60
  - Total: 150
- **Total**:
  - Brand A: 170
  - Brand B: 105
  - Overall Total: 275

### Problem:
Find the probability that a person is from **California**, given that they prefer **Brand A**.

### Steps to Solve:
1. **Identify the relevant numbers**:
   - Total number of people who prefer Brand A: 170
   - Number of people from California who prefer Brand A: 90

2. **Apply the conditional probability formula**:
   \[
   P(\text{California | Brand A}) = \frac{\text{Number of people from California who prefer Brand A}}{\text{Total number of people who prefer Brand A}}
   \]
   \[
   P(\text{California | Brand A}) = \frac{90}{170}
   \]

3. **Calculate the probability**:
   \[
   P(\text{California | Brand A}) = \frac{90}{170} \approx 0.5294
   \]

   Rounded to two decimal places, the answer is \(0.53\).

### Correct Answer:
The correct answer is **Option A: 0.53**.

Would you like any further details or have any questions about this problem?  

Here are some related questions:
1. What is conditional probability and how is it calculated?
2. How does one interpret the result of a conditional probability calculation?
3. How would the probability change if more people preferred Brand B?
4. Can you explain the importance of rounding in probability calculations?
5. What are the common mistakes when calculating conditional probability?
6. How does knowing the preference of pasta help in determining the origin of the individual?
7. What would be the probability of selecting someone from Texas who prefers Brand B?
8. How can probability concepts be applied in real-world decision-making?

**Tip:** Always ensure that you carefully distinguish between total probabilities and conditional probabilities, especially in word problems like these.

Learn how to calculate conditional probability using a real-world example: determining the probability that a person is from California given that they prefer Brand A pasta. This problem involves detailed steps and calculations based on statistical data.

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