
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
There are $6$ seeds planted in three pits (A, B, and C), with $2$ seeds in each pit. The probability of each seed germinating is $0.5$. If at least one seed germinates in a pit, then that pit does not require replanting; if no seeds germinate in a pit, then that pit requires replanting. What is the probability that exactly $1$ pit does not require replanting? (Answer should be in fraction form.)

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