
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 $b$ are single-digit positive integers chosen independently and at random. What is the probability that the point $(a,b)$ lies above the curve $y = ax^2 + bx$?
A) $\frac{1}{81}$
B) $\frac{17}{81}$
C) $\frac{19}{81}$
D) $\frac{26}{81}$
E) $\frac{1}{9}$

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