
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 the urn initially contains one red ball, one blue ball, and one green ball, determine the probability that after five operations, the urn contains five red balls, five blue balls, and six green balls.

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