
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
Suppose someone fills out all possible lottery tickets (13 matches, each filled with 1, 2, or $x$) in a week and then groups their tickets by the number of correct predictions after the matches. In which group (based on the number of correct predictions) will most of the tickets fall? (It is not necessary to calculate the number of possibilities for each group.)

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