
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
An unlimited number of Bernoulli trials are conducted with a probability of success $p$. Find the probability that the first success occurs on the $n$-th trial, and the second success occurs after the $m$-th trial $(m > n)$.

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