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MMLU-Pro / 7801 / A dentist has noticed that about two children in every seven whom he sees…

Problem

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

question

A dentist has noticed that about two children in every seven whom he sees professionally develop cavities before they turn 10 years old. Last week he examined the teeth of five unrelated children younger than 10. Let X be the number of children who develop cavities before turning 10. Which of the following gives the probability that at least one will develop a cavity before turning 10?

category

math

options

  1. P(X = 3 out of 5)
  2. P(X = 0)
  3. P(X = 7 out of 10)
  4. P(X = 1)
  5. 1 – P(X = 1)
  6. P(X = 1, 2, 3, 4, 5)
  7. P(X = 2 out of 7)
  8. P(X = 2, 3, 4, 5, 6, 7)
  9. 1 – P(X = 0)
  10. P(X = 2 out of 5)

src

ori_mmlu-high_school_statistics

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Source and history

upstream_id / Original problem ID
7801
task_id
04d7589b-4921-5753-af80-d4919c880aa2
task_key
default--test--7801
task_revision_id
1
config / split
default / test

Official source

initial import