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You can take a final exam k times. The probability that you pass the exam is...

You can take a final exam k times. The probability that you pass the exam is 2/3 at each attempt. Considering that you take the exam k times, what is the expected number of exams you take considering that you pass the exam.

What is the right approach to solving this problem? I had this on an exam recently and I couldn't figure it out. Any help would be appreciated

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