
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Jennifer is compiling a report on extracurricular clubs at her college for a project. The college has Chess and Drama clubs. Jennifer has a list of all 30 students who are members of at least one of the clubs. She also knows that 22 students are in the Chess club and 20 are in the Drama club. If Jennifer interviews two students randomly from her list, what is the probability that she will have the opportunity to gather information about both clubs after the interviews? Express your answer as a fraction in simplest form.

Present the answer in LaTex format: \boxed{Your answer}
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