
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
In a sports event, Alice and Bob run on a 500-meter circular track. Alice runs counterclockwise and completes a lap every 120 seconds, while Bob runs clockwise and completes a lap every 75 seconds. They start simultaneously from the same line. A photographer plans to take a picture between 15 and 16 minutes after the start. He focuses on a 150-meter section of the track that starts 50 meters from the starting line and extends counterclockwise. What is the probability that both Alice and Bob are in the picture at a randomly chosen moment within that interval?
A) \(\frac{7}{60}\)
B) \(\frac{11}{60}\)
C) \(\frac{15}{60}\)
D) \(\frac{20}{60}\)
E) \(\frac{25}{60}\)

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