
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
A and B are playing a number game. First, A thinks of a number denoted as $a$, then B guesses the number A was thinking of, denoting their guess as $b$. Both $a$ and $b$ belong to the set $\{1,2,3,4,5,6\}$. If $|a-b| \leq 1$, it is said that "A and B are in sync". Now, randomly select two people to play this game, the probability that they are "in sync" is $\boxed{\frac{11}{36}}$.

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