
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
Four contestants \\(A\\), \\(B\\), \\(C\\), and \\(D\\) participate in three competitions: shooting, ball throwing, and walking on a balance beam. Each contestant has an equal chance of passing or failing each competition. At the end of the competitions, the judges will evaluate the performance of each contestant and award the top two contestants.  
\\((1)\\) The probability that contestant \\(D\\) gets at least two passing grades;  
\\((2)\\) The probability that only one of contestants \\(C\\) and \\(D\\) receives an award.

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