
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
Select 3 people from 3 boys and 2 girls to participate in a speech competition.  
(1) Calculate the probability that the 3 selected people are all boys;  
(2) Calculate the probability that exactly 1 of the 3 selected people is a girl;  
(3) Calculate the probability that at least 1 of the 3 selected people is a girl.

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