
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 spinner is divided into 3 equal sections. An arrow is attached to the center of the spinner. The arrow is spun twice. Calculate the probability that the arrow lands on the same color twice.

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