
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
From 4 male students and 2 female students, 3 students are chosen at random to participate in a speech contest. Let the random variable $\xi$ denote the number of female students among the 3 chosen students.
(I) Find the probability distribution of $\xi$.
(II) Calculate the expected value of $\xi$.
(III) Find the probability that the number of female students among the 3 chosen is less than or equal to 1.

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