
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 Rockets are playing the Bulls in the NBA finals. To win the finals, a team must win 4 games. The probability that the Bulls win any given game is $\frac{3}{5}$. Assuming no ties, what is the probability that the Rockets will win the NBA finals and that the contest will need all seven games to be determined? Provide your answer as a fraction.

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