
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 teams with 6, 9, 7, and 10 students respectively. Each team has two designated leaders. If a team is chosen at random, and then two members from that team are randomly selected to receive a special edition of *Algebra Fundamentals*, what is the probability that both members selected are the team leaders?

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