
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
Two positive numbers are chosen at random, each of which is not greater than one. What is the probability that their sum does not exceed one, and their product is not greater than $2 / 9 ?$

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