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MMLU-Pro / 8646 / Of a group of patients having injuries, 28% visit both a physical therapist…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Of a group of patients having injuries, 28%28 \% visit both a physical therapist and a chiropractor and 8%8 \% visit neither. Say that the probability of visiting a physical therapist exceeds the probability of visiting a chiropractor by 16%16 \%. What is the probability of a randomly selected person from this group visiting a physical therapist?
Plain-text mathematical notation (without MathML)
 Of a group of patients having injuries, 28% visit both a physical therapist and a chiropractor and 8% visit neither. Say that the probability of visiting a physical therapist exceeds the probability of visiting a chiropractor by 16%. What is the probability of a randomly selected person from this group visiting a physical therapist?
Original LaTeX notation
 Of a group of patients having injuries, $28 \%$ visit both a physical therapist and a chiropractor and $8 \%$ visit neither. Say that the probability of visiting a physical therapist exceeds the probability of visiting a chiropractor by $16 \%$. What is the probability of a randomly selected person from this group visiting a physical therapist?

category

math

options

  1. 0.48
  2. 0.52
  3. 0.72
  4. 0.80
  5. 0.60
  6. 0.84
  7. 0.56
  8. 0.44
  9. 0.76
  10. 0.68

src

scibench-stat

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