
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 following table presents the air distances in miles between selected world cities. If two different cities from the updated 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
& Tokyo & Cairo & Sydney & Paris \\ \hline
Tokyo & & 5900 & 4800 & 6200 \\ \hline
Cairo & 5900 & & 8700 & 2133 \\ \hline
Sydney & 4800 & 8700 & & 10400 \\ \hline
Paris & 6200 & 2133 & 10400 & \\ \hline
\end{tabular}

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