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For each test, your friend studies with probability 1/2 and does not study with probability 1/2,...

For each test, your friend studies with probability 1/2 and does not study with probability 1/2, independently of any other test. On any test for which she has not studied, she still has a 0.30 probability of passing, independently of whatever happens on other test. What is the expected number of total exams taken until she has had 2 test for which she did not study but which she still passed?

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