
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 sports team has 12 members, consisting of 7 boys and 5 girls. One of the girls is named Alice. If two members are chosen at random, what is the probability that both picked members are girls, and one of them is Alice?

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