
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
On a segment \( L \) of length \( 40 \text{ cm} \), a smaller segment \( \ell \) of length 15 cm is placed. Find the probability that a randomly chosen point on the larger segment will also lie on the smaller segment. It is assumed that the probability of hitting segment \( \ell \) is proportional to its length and does not depend on its position on segment \( L \).

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