
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 are playing the Celtics in a new series of finals where the Lakers win each game with a probability of $\frac{3}{4}$ and the Celtics with $\frac{1}{4}$. There are no ties. What is the probability that the Celtics will unexpectedly win the NBA finals, but that the contest will extend to all seven games to decide the winner?

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