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To find the complement of \( P(A) \), we need to calculate \( P(\overline{A}) \), which represents the probability that event \( A \) does *not* occur. The formula for the complement is:

\[
P(\overline{A}) = 1 - P(A)
\]

Given that \( P(A) = \frac{1}{13} \), we can substitute:

\[
P(\overline{A}) = 1 - \frac{1}{13} = \frac{13 - 1}{13} = \frac{12}{13}
\]

So, the answer is:

\[
P(\overline{A}) = \frac{12}{13}
\]

Let me know if you need further explanation!

Here are some related questions:
1. What does it mean for two events to be complements?
2. How would you calculate the complement if \( P(A) \) was a decimal?
3. Can the complement of an event ever be greater than 1?
4. How does the probability of the complement change if \( P(A) \) increases?
5. What is the sum of \( P(A) \) and \( P(\overline{A}) \) for any event \( A \)?

**Tip:** The probability of an event and its complement will always add up to 1.

What is the complement of P(A) if P(A) = 1/13?

Learn how to find the complement of a probability with P(A) = 1/13. This problem demonstrates the complement rule in probability and provides a step-by-step solution. Suitable for high school students in Grades 9-12.

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