
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 a box, there are 5 cards numbered 1, 2, 3, 4, and 5. Cards are drawn from the box randomly.  
(I) Two cards are drawn from the box in succession without replacement. Calculate the probability that the numbers on the two drawn cards are not both odd or both even.  
(II) If cards are drawn from the box with replacement 3 times, each time one card, find the probability that exactly two of the drawn cards have an even number on them.

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