
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
Sophia chooses a real number uniformly at random from the interval $[0, 3000]$. Independently, Oliver chooses a real number uniformly at random from the interval $[0, 4500]$. What is the probability that Oliver's number is at least twice as large as Sophia's number?
**A) $\frac{1}{8}$**
**B) $\frac{3}{8}$**
**C) $\frac{1}{2}$**
**D) $\frac{5}{8}$**
**E) $\frac{7}{8}$**

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