
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
Points \(A\), \(B\), \(C\), and \(D\) are located on line segment \(\overline{AB}\) such that \(AB = 4AD = 3BC\). If a point is selected at random on \(\overline{AB}\), what is the probability that it is located between \(C\) and \(D\)?

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