
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 is one red ball and one white ball of the same size in a bag. Draw one ball at a time, with replacement, three times.  
(Ⅰ) List all the basic events;  
(Ⅱ) Calculate the probability that exactly two of the three draws result in balls of the same color;  
(Ⅲ) Calculate the probability that at least one white ball is drawn in the three attempts.

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