
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
A box contains 12 balls of various colors, including 5 red balls, 4 black balls, 2 white balls, and 1 green ball. A ball is randomly drawn from the box. Calculate:  
(1) The probability that the drawn ball is either red or black;  
(2) The probability that the drawn ball is either red, black, or white.

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