
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 certain high school has a total of 8 classes in the first year. Now, 10 students are selected from the first year to form a community service group, with 3 students selected from Class 1 and 1 student selected from each of the other classes. From these 10 students, 3 students are randomly selected to participate in the "Respect the Elderly" activity at the community elderly center (each student has an equal chance of being selected).

(I) Find the probability that the 3 selected students are from different classes.

(II) Let X be the number of students selected from Class 1. Find the distribution table and the expected value of the random variable X.

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