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).