
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 bag, there are 3 red balls and 4 white balls.
(I) By drawing 2 balls at a time without replacement, with at least one red ball considered a win, calculate the probability of winning precisely on the second draw.
(II) By drawing 2 balls at a time with replacement, with at least one red ball considered a win, if someone draws 4 times consecutively, calculate the expected number of wins $E(X)$.

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