
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
Three friends, Xiao Hong, Xiao Ming, and Xiao Fang, are playing a game together and deciding the order in which they play using the "rock, paper, scissors" method. The question is: What is the probability that all three of them will choose "paper" in a single round?

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