
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
The recruitment of volunteers for the Xi'an International Horticultural Exposition is in full swing. Three university students, A, B, and C, eagerly wish to apply. It is known that the probability of A being hired is $\frac{2}{3}$, the probability that neither A nor B is hired is $\frac{1}{12}$, and the probability that both B and C are hired is $\frac{3}{8}$.
(1) Find the individual probabilities that B and C are hired;
(2) Calculate the probability that at least two of the three students A, B, and C are hired.

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