
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 farmer plants $n$ pits on a piece of land, where $n\in \mathbb{N}^{*}$. Each pit is planted with 3 seeds, and the probability of each seed germinating is $\frac{1}{2}$, with the germination of each seed being independent of the others. If at least two seeds germinate in each pit, no replanting is needed. Find:<br/>
$(1)$ The probability that no replanting is needed for each pit;<br/>
$(2)$ When $n=4$, let $X$ represent the number of pits that need replanting. Find the distribution and expectation of $X$.

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