
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. Lee has 12 grandchildren. Assuming the gender of each child is independently determined with equal likelihood of being male or female, what is the probability that Mr. Lee has an even number of grandsons?

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