
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 examples, the random variable $\xi$ follows a binomial distribution in \_\_\_\_\_\_\_\_.

1. The random variable $\xi$ represents the number of times a multiple of $3$ appears when a dice is rolled $n$ times;
2. The probability of a shooter hitting the target is $0.9$, and $\xi$ represents the number of shots needed to hit the target from the start;
3. There are a total of $N$ products, among which $M$ are defective. Using the method of drawing with replacement, $\xi$ represents the number of defective products found in $n$ draws $(M < N)$;
4. There are a total of $N$ products, among which $M$ are defective. Using the method of drawing without replacement, $\xi$ represents the number of defective products found in $n$ draws.

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