
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 a fair standard eight-sided dice is tossed three times, with the condition that the sum of the first two tosses equals twice the third, calculate the probability that at least one "3" is tossed.

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