
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 an opaque box, there are red, white, and black balls that are completely identical except for their colors. There are $3$ red balls, $5$ white balls, and $7$ black balls in the box.  
$(1)$ Find the probability of drawing a red ball.  
$(2)$ Find the probability of drawing a ball that is not red.

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