
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
Given a wooden stick of length 2 meters with a special mark at a point 0.6 meters from one end, find the probability that the longer piece is at least three times the length of the shorter piece if the point chosen for the cut is nearer to the other end.

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