
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
Mr. Lee has 12 grandchildren. Assuming that the probability of each child being male is 0.6 and female is 0.4, what is the probability that Mr. Lee has more grandsons than granddaughters?

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