
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
Ms. Lee has 12 grandchildren. Assuming that each grandchild is equally likely to be male or female and the gender of each grandchild is determined independently, what is the probability that Ms. Lee has a different number of grandsons and granddaughters?

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