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CQE · Question #58

A box contains 27 black and 3 red balls. A random sample of 5 balls is drawn without replacement. What is the probability that the sample contains one red ball?

The correct answer is C. 0.369. See the full explanation below for the reasoning.

Statistical Tools and Techniques

Question

A box contains 27 black and 3 red balls. A random sample of 5 balls is drawn without replacement. What is the probability that the sample contains one red ball?

Options

  • A0.108
  • B0.270
  • C0.369
  • D0.500

How the community answered

(16 responses)
  • A
    13% (2)
  • B
    6% (1)
  • C
    75% (12)
  • D
    6% (1)

Topics

#hypergeometric distribution#probability without replacement#combinatorics#sampling probability

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