
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
From the set $\left\{ \frac{1}{3}, \frac{1}{2}, 2, 3 \right\}$, select a number and denote it as $a$. From the set $\{-2, -1, 1, 2\}$, select another number and denote it as $b$. Then, the probability that the graph of the function $y=a^{x}+b$ passes through the third quadrant is ______.

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