
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
When the number of repeated experiments is large enough, probability can be estimated using frequency. The mathematician Pearson once tossed a fair coin 24,000 times in an experiment. The number of times the coin landed heads up was 12,012 times, with a frequency of 0.5005. Therefore, the probability of a fair coin landing heads up is ____.

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