
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
There is a cube toy with the numbers $1$, $2$, $3$, $4$, $5$, $6$ marked on its six faces. Two students, A and B, play the following game: A throws the cube first and records the number $a$ facing up, then B throws the cube and the number facing up is $b$. If $|a-b| \leqslant 1$, then A and B are said to have a "tacit cooperation". The probability of A and B having "tacit cooperation" is ______.

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