
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
An urn contains 6 white, 3 red, 2 blue, and 10 green balls. We draw 3 balls consecutively. What is the probability that all three drawn balls are white,

a) if the drawn balls are not placed back into the urn?

b) if each drawn ball is placed back into the urn after every draw?

c) What is the probability of drawing 3 white balls if we draw 3 balls simultaneously?

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