
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
Let \( p \) be the answer to this question. If a point is chosen uniformly at random from the square bounded by \( x=0 \), \( x=1 \), \( y=0 \), and \( y=1 \), what is the probability that at least one of its coordinates is greater than \( p \)?

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