
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
In a spinner, all circles have the same center:

- The inner ring is divided into equal sections numbered 1 and 2.
- The middle ring is divided into equal sections numbered 1, 2, and 3.
- The outer ring is divided into equal sections numbered 1, 2, 3, and 4.

After the arrow is spun, it lies on one section of each of the three rings and the score is the total of the three numbers in these sections. For example, in the spinner shown, the score is \(2+2+3=7\). The arrow is spun once. What is the probability that the score is odd?

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