
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 die is symmetrical but unusual: it has two faces with two dots each and the other four faces with one dot each. Sergey rolled the die several times, and the total sum of all rolled dots was 3. Find the probability that a face with 2 dots came up in any of the rolls.

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