
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 2 red balls and 4 white balls. Apart from their color, their shape, size, and mass are exactly the same.  
(1) Using sampling without replacement, draw one ball at a time for two consecutive draws. Calculate the probability of exactly drawing one red ball and one white ball.  
(2) Using sampling with replacement, draw one ball at a time for five consecutive draws. Calculate the probability of exactly drawing two red balls.

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