
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
The $19^{th}$ Asian Games will be held in Hangzhou in September 2023. During the period when the three venues of the Hangzhou Asian Games (the gymnasium, swimming pool, and comprehensive training hall of the Hangzhou Olympic Sports Center) are open for free reservation, $5$ volunteers including A and B will be assigned to these three venues to be responsible for reception work. Each venue must be assigned at least $1$ volunteer, and A and B must be assigned to the same venue. The probability that A will be assigned to the swimming pool is ______.

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