
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
Each trial has a success probability of $p$ ($0 < p < 1$). If we repeat the trial 10 times, what is the probability that the first 7 trials are unsuccessful and the last 3 trials are successful?

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