
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
You have nine sticks with lengths 1, 2, 4, 6, 9, 10, 14, 15, and 18 inches. If three of the sticks are randomly selected, what is the probability that the selected sticks can form a triangle? Provide your answer as a simple fraction.

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