
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
There are 2 white balls and 3 black balls of the same size in a bag.  
(I) Using the sampling method with replacement, draw two balls sequentially, calculate the probability that the two balls are of different colors;  
(II) Using the sampling method without replacement, draw two balls sequentially, let $\xi$ be the number of white balls drawn, calculate the expectation and variance of $\xi$.

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