
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 box of glass balls, there are 12 balls of various colors: 5 red, 4 black, 2 white, and 1 green.  
(1) If one ball is drawn from the box, what is the probability of drawing a red or black ball?  
(2) If two balls are drawn from the box, what is the probability of drawing at least one red ball?

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