
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 the May Day holiday, a certain unit arranges for $A$, $B$, and $C$ to be on duty for $5$ days. Only one person is needed on duty each day, and each person must be on duty for at least $1$ day. It is known that $A$ is on duty for $2$ days during the May Day holiday. The probability of $A$ being on duty consecutively is ______.

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