
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
In a Go game between two players, A and B, the winner is the first to secure 3 games. After the competition, supposing that the probability of A winning a game is 0.6 and the probability of B winning a game is 0.4, and that the results of each game are independent, it is known that after the first two games, A and B each have won one game. The probability that the match will end after two more games is __________.

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