
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
Imagine a box containing seven sticks with lengths 2, 4, 6, 8, 12, 14, and 18 inches. If one is to randomly pick three sticks, what is the probability that those three sticks could be joined to form a triangle? Return your answer as a fraction.

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