
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
Ellie and Sam run on the same circular track but in opposite directions, with Ellie running counterclockwise and Sam running clockwise. Ellie completes a lap every 120 seconds, while Sam completes a lap every 75 seconds. They both start from the same starting line simultaneously. Ten to eleven minutes after the start, a photographer located inside the track takes a photo of one-third of the track, centered on the starting line. Determine the probability that both Ellie and Sam are in this photo.
A) $\frac{1}{4}$
B) $\frac{5}{12}$
C) $\frac{1}{3}$
D) $\frac{7}{18}$
E) $\frac{1}{5}$

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