
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
Three males and two females write their names on sheets of paper and randomly arrange them in order from left to right. What is the probability that all of the female names appear to the right of all the male names?

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