
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
A rope of length 2 meters is cut at a point chosen at random. What is the probability that the longer piece is at least y times as long as the shorter piece?
**A)** \( \frac{2}{y+1} \)
**B)** \( \frac{4}{y} \)
**C)** \( \frac{4}{y+1} \)
**D)** \( \frac{1}{y+1} \)
**E)** \( \frac{1}{y} \)

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