
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
Player A and Player B play a guessing game. First, Player A thinks of a number, denoted as $a$, then Player B guesses the number Player A thought of, denoting their guess as $b$. Both $a$ and $b$ belong to the set $\{0, 1, 2, 3, \ldots, 9\}$. If $|a-b| \leq 1$, then it is said that Player A and Player B are "telepathically linked". Now, if two people play this game randomly, the probability that they are "telepathically linked" is $\boxed{\frac{7}{25}}$.

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