
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 district, there are 4 math clubs with each club containing 6, 9, 10, and 12 students respectively. Each club has three co-presidents. Each month, a club is chosen at random. During a special event, four students from the chosen club are selected to receive a mystery math book. What is the probability that exactly two of the students chosen are co-presidents?

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