
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 a total of $20$ balls of two colors, red and white. Each ball is identical except for its color. Before drawing a ball each time, the balls are shaken well. A ball is randomly drawn from the bag, its color is noted, and then it is put back into the bag. This process is repeated continuously, and the data from the experiment is organized into the table below:

| Number of Draws | $50$ | $100$ | $200$ | $500$ | $800$ | $1000$ |
|-----------------|------|-------|-------|-------|-------|--------|
| Number of Red Balls Drawn | $11$ | $27$ | $50$ | $124$ | $201$ | $249$ |
| Frequency of Drawing Red Balls | $0.220$ | $0.270$ | $0.250$ | $0.248$ | $0.251$ | $0.249$ |

Estimate the number of red balls in the bag.

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