
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
Andrew and Bella are jogging on a circular track at different speeds, with Andrew completing a lap every 75 seconds and Bella finishing a lap every 120 seconds. Both start from the same line simultaneously. A photographer, standing at a point one-third of the way from the starting line around the track, will take a photo between 9 and 10 minutes after they start, capturing one-fourth of the track around his standing point. Determine the probability that both Andrew and Bella will be captured in this photo.

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