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MMLU / Bob rolls a fair six-sided die each morning. If Bob rolls a composite number, he…

Problem

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question

Bob rolls a fair six-sided die each morning. If Bob rolls a composite number, he eats sweetened cereal. If he rolls a prime number, he eats unsweetened cereal. If he rolls a 1, then he rolls again. In a non-leap year, what is the expected number of times Bob will roll his die?

choices

  1. \frac{5}{8}
  2. \frac{1825}{4}
  3. \frac{5}{4}
  4. 438

subject

high_school_mathematics

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