
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. Smith has 8 children. Assuming that the gender of each child is determined independently and with an equal likelihood of male and female, what is the probability that Mr. Smith has more sons than daughters or more daughters than sons?

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