
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 $A=\{1\}$, randomly select a number denoted as $k$, and from the set $B=\{-2,1,\}$, select a number denoted as $b$. Then, the probability that the line $y=kx+b$ does not pass through the third quadrant is \_\_\_\_\_\_.

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