Question: Some testing lasts until the examiner either answers the questions incorrectly twice in a row, or until he answers correctly twice in a row (i.e.,

Some testing lasts until the examiner either answers the questions incorrectly twice in a row, or until he answers correctly twice in a row (i.e., theoretically, testing can last indefinitely if the examiner answers correctly exactly every other time). Find the mathematical expectation E of the number of questions that the examiner will answer if he answers them incorrectly with probability p = 1/3.

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