
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 dart board is designed with an outer circle of radius 8 and an inner circle of radius 4. Three radii divide the board into six regions. Points are distributed as follows: inner regions carry points of 3, 4, and 4 while outer regions carry points of 4, 3, and 3. All regions are equally probable to be hit by the dart. When two darts are thrown, the score is the sum of the points of the regions hit. Calculate the probability that this score will be odd.
A) \(\frac{3}{9}\)
B) \(\frac{4}{9}\)
C) \(\frac{5}{9}\)
D) \(\frac{6}{9}\)

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