
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
Given the dart board with an outer circle of radius 8 units and an inner circle of radius 5 units, the point values are as follows:-inner regions: $3, 4, 4$; outer regions: $2, 3, 3$. If a dart hits an outer region, the score for that dart is doubled. What is the probability that the total score from two darts is odd?

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