
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 chart below gives the air distance in miles between selected world cities. If two different cities from the new chart are chosen at random, what is the probability that the distance between them is less than $6000$ miles? Express your answer as a common fraction.

\begin{tabular}{|c|c|c|c|c|}
\hline
& Bangkok & Cape Town & Honolulu & London \\ \hline
Bangkok & & 6200 & 7100 & 5800 \\ \hline
Cape Town & 6200 & & 12,000 & 6100 \\ \hline
Honolulu & 7100 & 12,000 & & 7500 \\ \hline
London & 5800 & 6100 & 7500 & \\ \hline
\end{tabular}

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