
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 dartboard is divided into six regions by three radii and two concentric circles with an inner radius of $4$ and an outer radius of $8$. The point values assigned to the regions are as follows: 
- Inner regions: $3, 4, 3$
- Outer regions: $4, 3, 3$
A dart hitting a region has a probability proportional to its area. When two darts are thrown at the board, their score is the sum of the point values of the regions hit. What is the probability that the score is even?
A) $\frac{35}{72}$
B) $\frac{1}{2}$
C) $\frac{19}{36}$
D) $\frac{37}{72}$
E) $\frac{17}{36}$

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