
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
During this year's May Day holiday, three blockbuster movies, $A$: the comedy "Life is Unfamiliar", $B$: the military film "King of the Sky", and $C$: the crime prosecution film "Prosecution Storm", will be released. Xiao Ming, Xiao Li, and Xiao Hong have agreed to randomly choose one of them to watch.<br/>$\ \ \ \ \left(1\right)$ The probability that Xiao Ming will choose "King of the Sky" is ______; <br/>$\ \ \ \ \left(2\right)$ If Xiao Ming has already chosen "Prosecution Storm", find the probability that all three of them will choose "Prosecution Storm". (Please provide an analysis process using a tree diagram or list, etc.)

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