
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 3 white balls and 5 black balls. Three balls are drawn one by one, with each ball being returned to the urn after the draw. Find the probability that among the drawn balls there will be:

a) exactly two white balls,
b) at least two white balls.

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