
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
Xiaoming forgot how to write $egg$ and only remembered there were three letters $e$, $g$, $g$. He randomly wrote one of them. Calculate the probability that he wrote it correctly.

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