https://file.aiquickdraw.com/mathbot/file/1728622552092tjfaqn1m.jpg

Let's analyze the problem step by step:

### Given Information:
The table categorizes 100 upper division students by their class (Junior or Senior) and their primary career motivation. The motivations are: 
- Money
- Allowed to be Creative
- Sense of Giving to Society

|                | Money | Allowed to be Creative | Sense of Giving to Society | Total |
|----------------|-------|------------------------|----------------------------|-------|
| **Junior**     | 7     | 13                     | 3                          | 23    |
| **Senior**     | 14    | 26                     | 37                         | 77    |
| **Total**      | 21    | 39                     | 40                         | 100   |

### Question:
We need to find the probability that a student is a **Junior**, given that their primary motivation is **creativity**. This is a conditional probability problem. 

The formula for conditional probability is:

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

- **P(Junior and Creativity):** The number of Juniors whose primary motivation is creativity, which is 13.
- **P(Creativity):** The total number of students whose primary motivation is creativity, which is 39.

Now, applying the formula:

\[
P(\text{Junior} | \text{Creativity}) = \frac{13}{39}
\]

So, the probability is:

\[
\boxed{\frac{13}{39}}
\]

Would you like further explanation on any part of this, or do you have more questions?

### Related Questions:
1. What is the probability that a student is a Senior, given their primary motivation is creativity?
2. What is the probability that a student is motivated by money, given that they are a Junior?
3. What is the probability that a student’s primary motivation is giving to society, given they are a Senior?
4. What is the probability that a randomly selected student is a Junior and motivated by giving to society?
5. What is the total number of students whose primary motivation is money?

### Tip:
When solving conditional probability problems, always identify the intersection (both conditions) and the total for the given condition first.

The probability that the student selected is a junior, given that their primary motivation is creativity.

Learn how to calculate the conditional probability of selecting a junior student, given their primary career motivation is creativity. This problem applies the conditional probability theorem and includes step-by-step reasoning. Suitable for high school students in Grades 10-12.

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