
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
Chloe chooses a real number uniformly at random from the interval \([0, 1000]\). Independently, Laurent chooses a real number uniformly at random from the interval \([0, 2000]\) and adds 500 to his chosen number. What is the probability that Laurent's number is greater than Chloe's number?
A) \(\frac{1}{8}\)
B) \(\frac{7}{8}\)
C) \(\frac{7}{16}\)
D) \(\frac{15}{16}\)

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