
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
A club has 15 members, 8 boys and 7 girls. Each girl heads one of seven different committees. Two of the members are chosen at random. What is the probability that they are both girls who are committee heads?

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