
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
Michael is preparing a report on foreign language classes for a school project. His school offers French and Spanish. There are 30 students enrolled in at least one of these language classes. Specifically, 20 students are enrolled in the French class, and 24 students are enrolled in the Spanish class. Michael will randomly select two students from his list to interview. What is the probability that he obtains enough information to write about both the French and Spanish classes 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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