
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 a game played by person A and person B, A first writes a number on a card, denoted as $a$, which belongs to the set $\{2, 3\}$. Then, B guesses the number A just wrote, denoted as $b$, also belonging to the set $\{2, 3\}$. Determine the probability that if $|a-b| \leq 1$, then B wins.

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