
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
Samantha and Sam run on a circular track. Samantha runs counterclockwise and completes a lap every 120 seconds, while Sam runs clockwise and completes a lap every 75 seconds. Both start from the same line at the same time. Exactly 15 minutes after they begin to run, a camera automatically takes a picture that captures one-third of the track, centered on the starting line. What is the probability that Samantha is in the picture but Sam is not?
A) $\frac{1}{8}$
B) $\frac{1}{4}$
C) $\frac{3}{8}$
D) $\frac{1}{2}$
E) $\frac{3}{4}$

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