
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
Select a number denoted by $a$ from the set $\left\{\frac{1}{2}, \frac{1}{3}, 2, 3\right\}$ and a number denoted by $b$ from the set $\{-2, -1, 1, 2\}$. What is the probability that the graph of the function $y = a^x + b$ passes through the third quadrant?

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