
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 bag, there are several red balls and $4$ black balls. Each ball is identical except for color. After shaking the bag, a ball is drawn from it, the color is noted, and then the ball is put back into the bag. This process is repeated $100$ times, and among them, $40$ times a black ball is drawn. Estimate the number of red balls in the bag.

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