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This question involves conditional probability and independent events.

We are given that \( P(A) = 0.5 \) and that \( A \) and \( B \) are independent events. The question asks about \( P(A \mid B) \), the conditional probability of \( A \) given \( B \).

For independent events, the conditional probability \( P(A \mid B) \) is equal to the unconditional probability \( P(A) \). This is because knowing whether \( B \) has occurred does not change the likelihood of \( A \) occurring if the two events are independent.

Thus:
\[
P(A \mid B) = P(A) = 0.5
\]

The correct answer is: **It is equal to .5.**

Would you like further details or have any other questions?

Here are 5 related questions:
1. How is conditional probability different from joint probability?
2. How do you calculate conditional probability for dependent events?
3. What does it mean for two events to be mutually exclusive?
4. Can independent events be mutually exclusive?
5. How would the formula for \( P(A \mid B) \) change if \( A \) and \( B \) were dependent?

**Tip:** For independent events, the occurrence of one event does not affect the probability of the other event. Always check if events are independent before calculating conditional probabilities.

Let A and B be two independent events. If P(A) = 0.5, what can you say about P(A | B)?

Explore conditional probability for independent events, where P(A) = 0.5. Learn how to calculate P(A | B) using key probability concepts and the independence of events theorem. Suitable for college-level probability or advanced high school students.

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