
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
On a street with a high flow of pedestrians, a middle-aged man is shouting "giving away money". He is holding a black cloth bag, inside of which there are 3 yellow balls marked A, B, C, and 3 white balls marked 1, 2, 3 (ping pong balls of different colors but the same material). Next to him, there is a small blackboard that reads:  
Method of drawing balls: Randomly draw 3 balls from the bag. If the 3 balls drawn are of the same color, the stall owner will give the drawer 5 dollars; if the 3 balls drawn are not of the same color, the drawer will pay the stall owner 1 dollar.  
(1) List all the basic events of randomly drawing 3 balls from the 6 balls, and calculate the probability of drawing 3 white balls.  
(2) Assuming that there are 100 people drawing balls per day, estimate from the perspective of probability how much money the stall owner can make in a month (calculated as 30 days).

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