
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
Mia and Tom jog on a circular track. Mia jogs counterclockwise and completes a lap every 96 seconds, while Tom jogs clockwise and completes a lap every 75 seconds. They both start from the same point at the same time. If a photographer positioned inside the track takes a snapshot sometime between 12 minutes and 13 minutes after they begin jogging, capturing one-third of the track centered on the starting point, what is the probability that both Mia and Tom are in the picture?
A) $\frac{1}{6}$
B) $\frac{1}{4}$
C) $\frac{2}{3}$
D) $\frac{5}{6}$
E) $\frac{1}{2}$

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