
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
To actively support the recruitment of volunteers for the 60th anniversary celebration of Songtao Miao Autonomous County, our school formed a publicity team for volunteer recruitment, composed of 2 students. After the initial selection, 4 students became candidates: 2 male students and 2 female students. Each candidate has an equal chance of being selected as a team member.
(1) What is the probability that exactly one male student is selected among the 2 team members?
(2) What is the probability that at least one female student is selected among the 2 team members?

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