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MMLU / Mr. Patrick is preparing a five-question true-false quiz for his class. He flips…

Problem

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question

Mr. Patrick is preparing a five-question true-false quiz for his class. He flips a coin before writing the first question. If it is heads, he writes a true statement and if it is tails, he writes a false statement. He continues this until all five statements are written. What is the probability that the correct sequence of answers is TFTFT ? Express your answer as a common fraction.

choices

  1. \frac{1}{6}
  2. \frac{1}{64}
  3. \frac{1}{32}
  4. \frac{1}{2}

subject

high_school_mathematics

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