https://file.aiquickdraw.com/mathbot/file/1729052201113ad9a770b.jpg

Let's analyze the question using the data provided in the image.

We are asked to find the probability that the selected student is a junior, given that their primary motivation is money. This is a conditional probability question.

The formula for conditional probability is:

\[
P(\text{Junior | Money}) = \frac{P(\text{Junior and Money})}{P(\text{Money})}
\]

From the table:

- Number of juniors motivated by money: \( 15 \)
- Total number of students motivated by money: \( 17 \) (which includes juniors and seniors)

Now, applying these values to the formula:

\[
P(\text{Junior | Money}) = \frac{15}{17}
\]

Thus, the probability that the selected student is a junior, given that their primary motivation is money, is:

\[
\boxed{\frac{15}{17}}
\]

Would you like more details on conditional probability? 

Here are 5 related questions you might want to explore:
1. What is the probability that a randomly selected student is a senior, given their motivation is money?
2. What is the probability that a student is motivated by a sense of giving to society?
3. How can we find the probability of selecting a senior motivated by creativity?
4. What is the probability that a student is a junior, given they are motivated by a sense of giving to society?
5. How would the probability change if the total number of students changed?

**Tip**: When calculating conditional probability, always start by identifying the subset you're interested in (in this case, students motivated by money).

Find the probability that the student selected is a junior, given that their primary motivation is money.

Learn how to calculate the probability that a student is a junior, given their primary motivation is money. Using a detailed step-by-step approach, this problem explores key probability concepts such as conditional probability. Suitable for students in Grades 10-12.

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