
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
(This question is worth 12 points) There is a bag containing 5 balls of the same size, among which there are 3 white balls and 2 black balls. Now, if one ball is drawn from the bag at a time, and each ball drawn is not put back, with two consecutive draws, answer the following:

(1) What is the probability that both balls drawn are white?

(2) What is the probability that at least one of the balls drawn is white?

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