
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 rules of a "level-passing game" stipulate: At level \( n \), a die is to be rolled \( n \) times. If the sum of the points from these \( n \) rolls exceeds \( 2^n \), the level is considered passed. Questions:
1. How many levels can a person pass at most in this game?
2. What is the probability of passing the first three levels consecutively?
(Note: The die is a uniform cube with faces showing points \( 1, 2, 3, 4, 5, 6 \). After rolling the die and coming to rest, the number on the upward face is the result.)

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