
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
Suppose you and your classmate are playing a number game. Both of you think of an integer in your mind, denoted as $x$ and $y$ respectively, and $x, y \in [1,4]$. If $|x-y|\leqslant 1$, then you and your classmate are considered to have "telepathy". What is the probability that you and your classmate have "telepathy"?

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