
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
A straight wooden stick is \\(6m\\) long and is now sawed into \\(2\\) pieces.  
\\((1)\\) If the lengths of both pieces are positive integers, calculate the probability that exactly one piece is \\(2m\\) long;  
\\((2)\\) Calculate the probability that both pieces are longer than \\(2m\\).

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