
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
Two dice are rolled sequentially, with the scores obtained denoted as $m$ and $n$ respectively. Let $\theta$ represent the angle between the vector $a=(m,n)$ and vector $b=(1,-1)$. Calculate the probability that $\theta \in (0, \frac{\pi}{2}]$.

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