
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 an $n$-throw game of dice, the sum of the points from all throws must be greater than $2^n$ to pass the round. 

1. How many rounds can a person pass at most?
2. What is the probability that the person passes the first three rounds in succession?

(Note: The dice is a fair six-sided cube with faces numbered 1 through 6. When the dice come to rest after being thrown, the number on the upper face is the point scored.)

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