
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 school is going to randomly select 2 students from a group of 5 boys and 2 girls to participate in community volunteer service. Let $\xi$ represent the number of girls in the selected volunteers. What is the value of the mathematical expectation $E(\xi)$? (Express the result as a fraction)

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