
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
In recent years, a certain city has been fully promoting the creation of a national civilized city, building a good living environment, and having more and more urban parks. One weekend, two citizens, A and B, are preparing to randomly choose one of the four attractions from parks A, B, C, and D to visit. Let event $M$ be: at least one of A and B chooses park B, and event $N$ be: A and B choose different attractions. It is known that there are $16$ possible scenarios when A and B randomly choose attractions. There are $9$ scenarios where A and B both do not choose park B. Therefore, after calculation, the conditional probability $P(N|M)=\_\_\_\_\_\_$.

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