
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
A high school has 220 male students, numbered 1, 2, ..., 220, and 380 female students, numbered 221, 222, ..., 600. To understand the students' learning psychology, 10 students are selected using systematic sampling for a questionnaire survey based on their student numbers ((the first group uses simple random sampling, with the number 10 drawn). Then, 2 students are randomly selected from the drawn female students for a discussion. The probability that both students have student numbers greater than 400 is \_\_\_\_\_\_\_\_\_\_\_.

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