
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
Three series of repeated coin tosses were conducted, and the number of heads was counted: 1) \( n_{1}=4040, \, m_{1}=2048 \), 2) \( n_{2}=12000, \, m_{2}=6019 \); 3) \( n_{3}=24000, \, m_{3}=12012 \). Find the frequency of heads appearing in each series of trials.

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