
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 that are identical except for their colors. A ball is randomly drawn from the box. The probability of drawing a red ball is $\dfrac{5}{12}$, the probability of drawing a black ball is $\dfrac{1}{3}$, the probability of drawing a white ball is $\dfrac{1}{6}$, and the probability of drawing a green ball is $\dfrac{1}{12}$. Find:  
(1) The probability of drawing a ball that is either red or black;  
(2) The probability of drawing a ball that is either red, black, or white.

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