
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 coin is tossed. Each time a head appears, 1 point is awarded; each time a tail appears, 2 points are awarded. Repeatedly toss the coin. What is the probability of obtaining exactly \( n \) points?

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