
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
Among the following problems, which belong to the hypergeometric distribution? (Fill in the serial number)

① Throwing three dice, the number of dice showing 6 on the top is denoted as $X$, find the probability distribution of $X$;

② There is a batch of seeds with a germination rate of 70%. Now, 10 seeds are randomly selected for a germination experiment, and the number of seeds that germinate is denoted as $X$, find the probability distribution of $X$;

③ In a box, there are 3 red balls, 4 yellow balls, and 5 blue balls. Now, 3 balls are randomly drawn, and the number of balls that are not red is denoted as $X$, find the probability distribution of $X$;

④ In a class, there are 25 boys and 20 girls. Now, 4 students are selected to participate in an activity organized by the school, and the class leader must participate. The number of girls is denoted as $X$, find the probability distribution of $X$.

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