
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
It is known that among 6 bottles of the same brand of beverage, 2 bottles have expired.
(I) Draw 1 bottle from the 6 bottles at random, find the probability of drawing a bottle that has not expired.
(II) Draw 2 bottles from the 6 bottles at random (regardless of the order).
(i) List all possible outcomes of the draw;
(ii) Calculate the probability of drawing a bottle that has expired.

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