F/T

Calculate experimental probability (relative frequency) as favourable trials over total trials, using sample sizes of 30 and 1000, and compare it to theoretical probability via the Law of Large Numbers.

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Te reo Māori terms

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Learning objective overview

Master Teaching Guide coverage for this objective.

Resources

  • Alpha textbook: Experimental/Theoretical probability, Exercise A & B,
  • Alpha textbook: pg 297 – 302
  • Dr Austin Maths - Experimental Probability Practice Strips: PDFQuestions PDF · Answers
  • CorbettMaths on basic probabilityQuestions PDF · Answers
  • Beta: Skills in Ex 33.02, pg 619

Terminology

  • Probability
  • Favourable outcomes
  • Theoretical Probability
  • Experimental Probability (or Relative Frequency)
  • Trial
  • Experiment
  • Prediction
  • Law of Large Numbers
  • Long-run

Task goals

  • Calculate a relative frequency (experimental probability) from given trial results, as Favourable trials / Total trials, using sample sizes of 30 or 1000.
  • Read a frequency table of trial results and use it to find a relative frequency.
  • Compare an experimental probability to a known theoretical probability, and use the term Law of Large Numbers to explain why larger samples tend to be closer to the theoretical value.
  • Use an experimental probability (rate) to predict an expected count in a different sample size.
  • Work backwards from a stated relative frequency and a sample size to find the raw favourable count.
  • Critically evaluate a probability conclusion drawn from a small sample, and combine results from multiple trials into one overall relative frequency.

Key skills

  • Probability fraction
  • Favourable over total
  • Theoretical probability
  • Experimental probability

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included