
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 randomly selected so that \(-2 \leq x \leq 2\), \(-2 \leq y \leq 2\), \(-2 \leq z \leq 2\). What is the probability that \(x^2 + y^2 + z^2 \leq 4\)?

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