
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
Three individuals, A, B, and C, work in the same office. There is only one telephone in the office. The probabilities that incoming calls through this phone are for A, B, and C are $\frac{1}{6}$, $\frac{1}{3}$, and $\frac{1}{2}$, respectively. If during a certain period there are three incoming calls, and each call is independent of others, calculate:  
(I) The probability that all three calls are for the same person;  
(II) The probability that exactly two of the three calls are for A.

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