
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 Person A and Person B play a guessing game where the number $a$ is randomly selected from the set $\{1, 2, 3, 4, 5, 6\}$ and Person B guesses the number $b$ also from the same set, calculate the probability that $|a-b| \leq 1$.

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