
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 revised chart gives the air distance in miles between chosen world cities. If two different cities from this new chart 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|c|}
\hline
& Bangkok & Cape Town & Honolulu & London & New York \\ \hline
Bangkok & - & 6300 & 6609 & 5944 & 8650 \\ \hline
Cape Town & 6300 & - & 11,535 & 5989 & 7800 \\ \hline
Honolulu & 6609 & 11,535 & - & 7240 & 4980 \\ \hline
London & 5944 & 5989 & 7240 & - & 3460 \\ \hline
New York & 8650 & 7800 & 4980 & 3460 & - \\ \hline
\end{tabular}

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