
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
Given a bag containing white and red balls of the same size, with a total of $n$ balls, of which there are $m$ white balls, find the probability that the second ball drawn from the bag is also red after drawing a red ball first if two balls are drawn without replacement, one at a time.

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