
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
Mrs. Lee has 12 grandchildren. Assuming that the gender of each child is determined independently and with an equal probability of being male or female, what is the probability that Mrs. Lee has more grandsons than granddaughters or more granddaughters than grandsons?

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