
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 kilometers between selected world cities. If two different cities from the chart are chosen at random, what is the probability that the distance between them is less than 8000 kilometers? Express your answer as a common fraction.

\begin{tabular}{|c|c|c|c|c|}
\hline
& Tokyo & Paris & New York & Sydney \\ \hline
Tokyo & & 9700 & 10870 & 7800 \\ \hline
Paris & 9700 & & 5826 & 16900 \\ \hline
New York & 10870 & 5826 & & 16000 \\ \hline
Sydney & 7800 & 16900 & 16000 & \\ \hline
\end{tabular}

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