
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
When a die is rolled twice, the numbers that appear are observed. Let the number from the first roll be $a$ and the number from the second roll be $b$. Let vector $\overrightarrow{m}=\left(a,b\right)$ and $\overrightarrow{n}=\left(1,2\right)$. The probability that vectors $\overrightarrow{m}$ and $\overrightarrow{n}$ are not collinear is ____.

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