
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 writing a feature for the school newspaper about students who take language classes. The school offers German and Japanese language classes. Michael has a list of all 30 students in the school enrolled in at least one language class. He finds out that 20 students are taking German and 24 students are taking Japanese. If Michael randomly selects two students from his list to interview, what is the probability he can cover both the German and Japanese classes based on his interviews? Express your answer as a fraction in simplest form.

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