
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 2 white balls and 4 black balls of the same size.  
(1) Using the sampling method with replacement, draw two balls from the bag. Calculate the probability that the two balls are of different colors.  
(2) Using the sampling method without replacement, draw two balls from the bag. Calculate the expected number and variance of the white balls drawn.

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