
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
Li Ming arrived at an airport with 6 boarding gates arranged in a straight line with a distance of 100 meters between adjacent gates. His boarding gate was randomly assigned as one of the 6 gates. After Li Ming arrived at his gate, he was informed that the gate was randomly changed to one of the other 5 gates. Calculate the probability that he needs to walk no more than 200 meters to reach the new gate.

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