
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
There are four line segments with lengths of 2, 3, 4, and 5, respectively. Now, if three of these segments are chosen at random, what is the probability that they can form a triangle?

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