
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 mixing the balls in the box, she randomly picked out a 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/>$(2)$ Calculate how many white and black balls are in the box? <br/>$(3)$ 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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