
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
There is a jar containing $m$ white balls and $n$ black balls $(m > n)$. Balls are drawn one by one without replacement. If at some point during the drawing process, the number of white balls drawn equals the number of black balls drawn, this is called a coincidence. Find the probability of having at least one coincidence.

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