
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
A fair six-sided die is rolled twice, and the outcomes are denoted as $m$ and $n$. The angle $α$ between the vectors $\vec{a} = (m, n)$ and $\vec{b} = (1, 0)$ satisfies $α ∈ (0, \frac{π}{4})$. What is the probability of this event?

A) $\frac{5}{18}$
B) $\frac{5}{12}$
C) $\frac{1}{2}$
D) $\frac{7}{12}$

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