
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 certain class of high school seniors, the first group consists of 5 boys and 3 girls. Two students need to be selected from this group to serve as assistant referees for the school's autumn sports event. The probability that exactly one girl will participate as an assistant referee in the school event is ______; given that at least one girl participates as an assistant referee in the school event, the probability that exactly one girl will participate as an assistant referee is ______.

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