
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
The table below represents the distance in miles between selected international cities. If two different cities from the table are chosen at random, what is the probability that the distance between them is less than $8000$ miles? Express your answer as a common fraction.

\begin{tabular}{|c|c|c|c|c|}
\hline
& Berlin & Sydney & Tokyo & Miami \\ \hline
Berlin & & 9900 & 5800 & 5000 \\ \hline
Sydney & 9900 & & 4800 & 9200 \\ \hline
Tokyo & 5800 & 4800 & & 7400 \\ \hline
Miami & 5000 & 9200 & 7400 & \\ \hline
\end{tabular}

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