
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
Two people, A and B, play a "guess the number" game using a fair six-sided die (the faces of the die are numbered $1, 2, \cdots, 6$). Each person independently thinks of a number on the die, denoted as $a$ and $b$. If $|a - b| \leqslant 1$, they are said to be "in sync." What is the probability that A and B are in sync?

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