
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
In a school, there are 30 students who are enrolled in at least one of the offered foreign language classes: German or Italian. The information available indicates that 22 students are taking German and 26 students are taking Italian. Sarah, who is writing an article for the school magazine, needs to interview two students randomly chosen from this list. What is the probability that she will be able to gather information about both language classes after the interviews? Give your answer as a fraction in its simplest form.

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