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The problem is asking you to determine the relationship between two events, \( A \) and \( B \), based on the following:

- \( A \): The student is on the basketball team.
- \( B \): The student is more than six feet tall.

Let's analyze the options:

1. **Independent**: Two events are independent if the occurrence of one event does not affect the probability of the other. In this case, being on the basketball team may increase the likelihood of being over six feet tall, but they are not strictly dependent on each other.

2. **Mutually Exclusive**: Events are mutually exclusive if they cannot occur at the same time. In this case, a student can be both on the basketball team and more than six feet tall, so these events are not mutually exclusive.

3. **Neither independent nor mutually exclusive**: This suggests that the events are neither unrelated (independent) nor do they completely prevent each other from occurring (mutually exclusive). Given the situation, it's likely that being on the basketball team might increase the chance of being over six feet tall, which implies that the events are not independent, and as they can occur together, they are not mutually exclusive.

The correct answer would be **"The events A and B are neither independent nor mutually exclusive."**

Would you like further details or explanations on this?

Here are 5 related questions to expand on this concept:
1. What are the conditions for two events to be independent?
2. How can you mathematically test if two events are independent?
3. Can events ever be both independent and mutually exclusive?
4. What are examples of real-life mutually exclusive events?
5. How does the concept of conditional probability relate to event independence?

**Tip:** In probability, independence means that knowing the outcome of one event does not change the likelihood of the other event occurring.

Assume that a student is chosen at random from a class. Determine whether the events A and B are independent, mutually exclusive, or neither. A: The student is on the basketball team. B: The student is more than six feet tall.

Learn how to determine if two events, such as being on a basketball team and being taller than six feet, are independent, mutually exclusive, or neither. This problem covers key probability concepts and real-life applications. Suitable for students in Grades 10-12.

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