
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
Given a pyramid $P-ABCD$, where $PA \perpendicular$ the base $ABCD$, and the base $ABCD$ is a square with $PA=AB=2$. A point $O$ is chosen randomly inside or on the surface of the pyramid. The probability that the volume of the pyramid $O-ABCD$ is not less than $\frac{2}{3}$ is ______.

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