
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
Mike participates in a test with ten multiple-choice questions. For each correct answer, he scores one point; for each wrong answer, he loses one point; not answering a question scores zero points. His goal is to score at least 7 points to pass. Mike has confirmed that the first six questions are correct, and the probability of getting each remaining question correct is \( p \) (where \( 0 < p < 1 \)). How many questions should Mike attempt to maximize his probability of passing?

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