
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 within a rectangular prism defined by $-2 \leq x \leq 2$, $-1 \leq y \leq 1$, and $-1 \leq z \leq 1$. What is the probability that $x^2 + \frac{y^2}{4} + \frac{z^2}{4} \leq 1$?

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