
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
A bag contains 2 white balls and 3 black balls of the same size.
(I) Using sampling with replacement, two balls are drawn successively. Find the probability that the two balls have different colors.
(II) Using sampling without replacement, two balls are drawn successively. Let $\xi$ be the number of white balls drawn. Find the expectation and variance of $\xi$.

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