
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
In a box, there are ten sticks with the lengths 4, 5, 6, 8, 10, 11, 12, 15, 17, and 18 inches. Three sticks are randomly chosen. Find the probability that the three sticks chosen can be used to form a triangle. Express your answer as a reduced fraction.

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