Question: Suppose a biased six-sided die is rolled until either two 1s are obtained on successive rolls or until a 1 and then a 2 are

Suppose a biased six-sided die is rolled until either two 1s are obtained on successive rolls or until a 1 and then a 2 are obtained on successive rolls. The die will show a 1 with probability 50%, a 2 with probability 20%, and something else with probability 30%. What is the expected number of times the die is rolled

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