
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 box, there are 4 red balls and 5 black balls. A ball is randomly drawn from the box, its color is observed, then it is put back, and 3 balls of the same color as the one drawn are added. A second ball is then randomly drawn from the box. Find the probability of drawing a black ball on the second draw.

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