
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
Suppose \( a \) and \( c \) are single-digit positive integers selected randomly. What is the probability that the point \( (a,c) \) lies above the cubic curve \( y = ax^3 - cx^2 \)?
A) \( \frac{14}{81} \)  
B) \( \frac{16}{81} \)  
C) \( \frac{18}{81} \)  
D) \( \frac{11}{81} \)  
E) \( \frac{19}{81} \)

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