
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 oral examination, each candidate randomly draws \\(2\\) out of \\(8\\) questions to answer, and passing requires correctly answering at least \\(1\\) question.
\\((1)\\) If a candidate knows the answers to \\(5\\) out of the \\(8\\) questions, what is the probability of this candidate passing the exam?
\\((2)\\) If a candidate's probability of passing is less than \\(50\%\\), what is the maximum number of questions that they can know the answers to?

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