
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
A and B play a guessing game where A thinks of a number denoted as $a$, and then B guesses the number A thought of, denoting B's guess as $b$. Both $a$ and $b$ belong to the set $\{0,1,2,3,\cdots,9\}$. If $|a-b|\leqslant 1$, then A and B are considered to have a "telepathic connection". Now, if two people play this game randomly, the probability that they have a "telepathic connection" is ______.

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