
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
Two steamships are supposed to arrive at the same dock. The arrival time of both steamships is independent and equally likely throughout the given day. Determine the probability that one of the steamships will have to wait for the dock to be available, given that the docking time of the first steamship is one hour and the second steamship is two hours.

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