
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
The local Administration for Industry and Commerce conducted a quality spot check on a brand of milk circulating in the area. The results showed that the qualification rate of a batch of milk just sold was 80%.

(1) If person A buys 2 bottles from the supermarket, what is the probability that both are qualified?
(2) If person A drinks 2 bottles of milk every day, calculate the expected number of days within three days that he drinks unqualified milk.

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