
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 a bag, there are a total of 15 balls, some black and some white. All the balls are identical except for their colors. The balls in the bag are thoroughly mixed. One ball is randomly drawn from the bag, its color is noted, and then it is put back into the bag. This process is repeated 100 times. Estimate the number of black balls in the bag, given that a black ball is drawn 60 times.

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