
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 provides the air distance in miles between different cities. If two different cities are selected 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
& Tokyo & Sydney & New York & Paris \\ \hline
Tokyo & & 4800 & 6760 & 6037 \\ \hline
Sydney & 4800 & & 9954 & 10560 \\ \hline
New York & 6760 & 9954 & & 3624 \\ \hline
Paris & 6037 & 10560 & 3624 & \\ \hline
\end{tabular}

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