
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
Consider a bag containing 2 red balls, 2 white balls, and 2 black balls. From this bag, two balls are drawn at once. Define the following events:
① Both balls are not white.
② There is exactly one white ball among the two balls.
③ There is at least one white ball among the two balls.
Which of the following events are mutually exclusive but not complementary with the event "both balls are white"?
A) ①②
B) ①③
C) ②③
D) ①②③

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