
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 point in space $(x,y,z)$ is uniformly selected such that $-2 \le x \le 2$, $-2 \le y \le 2$, $-2 \le z \le 2$. What is the probability that $x^2 + y^2 + z^2 \le 4$?

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