
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. Brown has 8 children. Assuming that the gender of each child is determined independently with an equal likelihood of being male or female, and additionally, there is a 10% chance any child is a twin (twins are always of the same gender), what is the probability that Mr. Brown has more sons than daughters or more daughters than sons?

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