
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 players, A and B, participate in a table tennis match. The probability of A winning over B is $\frac{3}{5}$, and the probability of B winning over A is $\frac{2}{5}$. In a best-of-5 games match, what is the probability that A wins after playing 4 games?

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