
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]


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In the Cartesian coordinate system, three points are randomly selected from the six points: A(0,0), B(2,0), C(1,1), D(0,2), E(2,2), and F(3,3). What is the probability that these three points can form a triangle? (Express the result as a fraction.)

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