
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 \((x, y)\) is randomly and uniformly chosen inside the square with vertices \((0, 0)\), \((0, 3)\), \((3, 3)\), and \((3, 0)\). What is the probability that \(x + 2y < 4\)?

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