
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 guessing game. A thinks of a number, denoted as $a$, and B tries to guess A's number, denoted as $b$. Both $a$ and $b$ are in the set ${0,1,2,3,...,9}$. If $|a-b|\leqslant 1$, they are considered to have "spiritual connection". Find the probability that any two people playing this game will have a "spiritual connection".

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