
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
The Lakers play the Celtics in the NBA finals, with the winning condition set to winning 4 games. If the Celtics win each game with a probability of $\frac{3}{4}$ and there are no ties, what is the probability that the Lakers will win the NBA finals but the contest will need all seven games to be decided? Express your answer as a fraction.

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