
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 new chart shows the air distances in miles between a different set of world cities. If two different cities from this chart are chosen at random, what is the probability that the distance between them is less than $8000$ miles? Also, what is the probability that one of the cities in the pair is Tokyo? Express your answer as a common fraction.

\begin{tabular}{|c|c|c|c|c|c|}
\hline
& Tokyo & Cairo & Sydney & Toronto & Paris \\ \hline
Tokyo & & 5900 & 4800 & 6450 & 6040 \\ \hline
Cairo & 5900 & & 8650 & 5260 & 2140 \\ \hline
Sydney & 4800 & 8650 & & 9440 & 10600 \\ \hline
Toronto & 6450 & 5260 & 9440 & & 3700 \\ \hline
Paris & 6040 & 2140 & 10600 & 3700 & \\ \hline
\end{tabular}

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