
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 there are four balls, each labeled with the numbers $4$, $5$, $6$, and $7$ in an opaque bag, and Xiao Hong and Xiao Ming have a "heart-to-heart connection" if the absolute difference between the number Xiao Hong picked and Xiao Ming guessed is less than or equal to $1$, calculate the probability of Xiao Hong and Xiao Ming having a "heart-to-heart connection".

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