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Let's work through the problem.

The question asks for the probability that a randomly chosen student from the class plays basketball or baseball. Here's the breakdown:

- There are **30 students** total.
- **15 students play basketball**.
- **16 students play baseball**.
- **7 students play both basketball and baseball**.

To find the probability that a student plays basketball **or** baseball, we use the principle of inclusion and exclusion. The formula is:

\[
P(A \cup B) = P(A) + P(B) - P(A \cap B)
\]

Where:
- \( P(A) \) is the probability of playing basketball.
- \( P(B) \) is the probability of playing baseball.
- \( P(A \cap B) \) is the probability of playing both basketball and baseball.

### Step 1: Calculate individual probabilities
- \( P(A) = \frac{15}{30} \) (basketball players).
- \( P(B) = \frac{16}{30} \) (baseball players).
- \( P(A \cap B) = \frac{7}{30} \) (students who play both).

### Step 2: Apply the formula
\[
P(A \cup B) = \frac{15}{30} + \frac{16}{30} - \frac{7}{30}
\]

\[
P(A \cup B) = \frac{24}{30}
\]

### Step 3: Simplify
\[
P(A \cup B) = 0.8
\]

So, the probability that a randomly chosen student plays basketball or baseball is **0.8** or **80%**.

Would you like more details on this solution or have any other questions? 

Here are 5 related questions to further your understanding:
1. What would the probability be if no student played both sports?
2. How would the probability change if there were 20 students in total instead of 30?
3. Can the probability exceed 1 in this kind of scenario?
4. What happens to the probability if the number of students playing both sports increases to 10?
5. How would you find the probability of a student playing **neither** basketball nor baseball?

Tip: Always remember to subtract the overlap (students playing both) to avoid double-counting when calculating probabilities with "or" scenarios.

In a certain Algebra 2 class of 30 students, 15 of them play basketball and 16 of them play baseball. There are 7 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Calculate the probability of a student playing basketball or baseball from a class of 30, where 15 play basketball, 16 play baseball, and 7 play both. Learn about the inclusion-exclusion principle for determining probabilities in overlapping sets. Suitable for Grades 9-12.

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