
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
At CMU, the A and the B buses arrive once every 20 and 18 minutes, respectively. Kevin prefers the A bus but does not want to wait for too long.  He commits to the following waiting scheme: he will take the first A bus that arrives, but after waiting for five minutes he will take the next bus that comes, no matter what it is. Determine the probability that he ends up on an A bus.

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