
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
The school offers German and Chinese language classes. There are 30 students enrolled in at least one language class. 22 students are in the German class and 19 students are in the Chinese class. If a teacher randomly selects two students from the list, what is the probability that both the German and Chinese classes will be represented in the selection? Express your answer as a fraction in simplest form.

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