
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
During the school sports meeting, three college students, A, B, and C, are eager to try out for volunteer positions. It is known that the probability of A being recruited is $\frac{2}{3}$, the probability of both A and B not being recruited is $\frac{1}{12}$, the probability of both B and C being recruited is $\frac{3}{8}$, and the recruitment of the three individuals is mutually independent.  
(1) Find the probability of B and C being recruited respectively;  
(2) Find the probability that at least two out of A, B, and C are recruited.

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