
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
In a race, four cars each independently run timed laps around a circuit. Each car's lap time is discretely measured in seconds and can be any integer value between 150 and 155 seconds, uniformly distributed. The winner is the car with the shortest lap time. In case of a tie, the involved cars re-run the lap until a single winner is determined. What is the probability that Maria's first lap time was 152 seconds, given that she won the race?
A) $\frac{1}{8}$  
B) $\frac{1}{6}$  
C) $\frac{1}{4}$  
D) $\frac{1}{3}$  
E) $\frac{1}{2}$

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