
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
Ann and Ben run on a circular track. Ann runs counterclockwise and completes a lap every 75 seconds, whereas Ben runs clockwise and completes a lap every 60 seconds. They both start from the same line at the same time. A photographer plans to take their picture at a random time between 12 minutes and 15 minutes after they start running. The picture will cover one-sixth of the track, centered on the starting line. What is the probability that both Ann and Ben are in the picture?

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