
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 $5$ balls of the same size, including $3$ white balls and $2$ black balls. One ball is randomly drawn from the bag each time, and the drawn ball is not put back. Given that a white ball is drawn on the first draw, calculate the probability of drawing a black ball on the second draw.

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