
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 with numbers. Firstly, person A thinks of a number noted as $a$, then person B guesses the number A is thinking of and records the guessed number as $b$, where $a, b \in \{0,1,2,…,9\}$. If $|a-b|\leqslant 1$, they are said to have a "spiritual connection". When two people play this game at random, the probability that they have a "spiritual connection" is _________.

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