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Question 112

A pupil says that a standard fair six-sided die rolled 60 times should show a 6 about 6 times, once for each face. Using expected frequency, about how many 6s should be expected?

  1. 6, one 6 for each face of the die
  2. 30, half of the 60 rolls
  3. 60
  4. 10Correct answer

Explanation

A 6 appears on one of the six equally likely faces, so it is expected on one sixth of the rolls, and one sixth of 60 is 10. The pupil's figure of 6 simply repeats the number of faces, but the faces only fix the probability, and that probability still has to be multiplied by the 60 rolls.

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Question 112: A pupil says that a standard fair six-sided die rolled 60… · Statistics and Probability · Questena