
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
In a bag, there are 5 white balls and 3 black balls, all identical in size. Calculate the probability of the following events when 4 balls are drawn randomly:

(1) Drawing either 2 or 3 white balls.
(2) Drawing at least one black ball.

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