
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
Given that Jia and Yi are playing a number guessing game, where Jia thinks of a number, denoted as \( a \), and Yi guesses the number Jia thought of, denoted as \( b \), with \( a, b \in \{1, 2, \cdots, 6\} \), find the probability that they have a "close connection" if \( |a - b| \leq 1 \).

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