
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
Two badminton players, A and B, engage in training sessions that involve three matches. These three matches can be considered as three independent repeated trials. If the probability of player A winning at least once is $\frac{63}{64}$, what is the probability of player A winning exactly once?

A) $\frac{1}{4}$
B) $\frac{3}{4}$
C) $\frac{9}{64}$
D) $\frac{27}{64}$

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