
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. Smith has 8 children. Assume the probability that each child is male is 0.4 and female is 0.6, independently determined for each child. What is the probability that Mrs. Smith has more sons than daughters or more daughters than sons?

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