
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
Container I holds 12 red balls and 6 green balls, Container II holds 4 red balls and 6 green balls, and Container III holds 3 red balls and 9 green balls. A container is selected at random and then a ball is selected at random from that container. What is the probability that the selected ball is green? Express your answer as a common fraction.

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