
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
An ant is crawling along the coordinate plane. Each move, it moves one unit up, down, left, or right with equal probability. If it starts at  $(0,0)$ , what is the probability that it will be at either  $(2,1)$  or  $(1,2)$  after  $6$  moves?


*2020 CCA Math Bonanza Individual Round #1*

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