
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. Assuming that the gender of each child is determined independently and with an equal likelihood of being male or female, calculate the probability that Mrs. Smith has at least two more sons than daughters or at least two more daughters than sons.

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