
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 picks a real number uniformly at random from the interval \([0, x]\) where \(x\) is half the number Laurent selects. Laurent randomly picks his number from the interval \([0, 3000]\). Determine the probability that Laurent's number is at least twice as large as Chloe's number.
A) 1/4 \\
B) 1/3\\
C) 1/2\\
D) 2/3\\
E) 3/4

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