
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
From all non-empty subsets of the set \\(\{1,2,3,4,5\}\\), \\(m\\) subsets are drawn with equal probability.  
\\((1)\\) If \\(m=1\\), find the probability that the drawn subset contains both odd and even numbers;  
\\((2)\\) If \\(m=2\\), let the difference in the number of elements between the two drawn subsets be \\(\xi\\), find the distribution and the mathematical expectation \\(E(\xi)\\) of \\(\xi\\).

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