
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
Jason and Emily run on a circular track. Jason runs clockwise and completes a lap every 100 seconds, and Emily runs counterclockwise and completes a lap every 120 seconds. Both start from the same line at the same time. A photographer standing inside the track takes a picture that shows half of the track. What is the probability that both Jason and Emily are in the picture if the photographer takes a photo at any given minute?
A) $\frac{1}{3}$
B) $\frac{1}{2}$
C) $\frac{2}{3}$
D) $\frac{3}{4}$
E) $\frac{4}{5}$

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