
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 now covering a story on extracurricular classes - French and Spanish - at a nearby larger school with 30 students enrolled in at least one of the classes. Among them, 22 students are taking the French class, while 25 students are enrolled in the Spanish class. If Michael picks two students randomly from his list for interviews, what is the probability that he can report on both 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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