
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 a total of 60 balls of two different colors, black and white. Apart from the color, all the balls are the same. Wang Ying conducted a ball-picking experiment. After stirring the balls in the box, she randomly picked one ball, noted its color, put it back into the box, and repeated this process many times. She found that the frequency of picking a white ball stabilized at 0.25. <br/>$(1)$ Please estimate that the probability of picking a white ball will be close to ______; <br/>$(2)$ If the probability of picking a white ball is to be $\frac{2}{5}$, how many more white balls need to be added to the box?

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