
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
Xiao Cong and Xiao Ying signed up to participate in the school's "Math Festival" park work activity, and they were randomly assigned to work tasks in projects A, B, and C.  
(1) The probability of Xiao Cong being assigned to work on project A is ______.  
(2) If Xiao Ying is not assigned to work on project C, please use a tree diagram or list method to find the probability of Xiao Cong and Xiao Ying being assigned to work in the same project.

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