
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
A circular region has an outer radius of 3 units and contains a concentric inner circle. A point is randomly selected within this circular region. What is the probability that the point is closer to the center of the region than to the boundary if the radius of the inner circle is 1.5 units?
A) 1/4
B) 1/3
C) 1/2
D) 2/3
E) 3/4

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