
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 10 balls of the same size, including black, white, and red balls. It is known that the probability of drawing at least one white ball when drawing 2 balls randomly from the bag is $\frac{7}{9}$.  
(1) Find the number of white balls;  
(2) Find the probability of drawing at most one white ball when drawing 3 balls randomly from the bag.

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