
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
In the interval $[-6,6]$, an element $x_{0}$ is randomly selected. If the tangent line to the parabola $x^{2}=4y$ at $x=x_{0}$ has an inclination angle of $\alpha$, then the probability of $\alpha \in \left[\frac{\pi}{4},\frac{3\pi}{4}\right]$ is ______.

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