
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 Debra flips a fair coin repeatedly, and she keeps track of the results until she gets two consecutive heads or two consecutive tails, and then she stops. What is the probability that she gets two heads in a row but only after she has seen at least two tails in a row first?

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