Relative & Expected Frequency

Test yourself

Relative and Expected Frequency

The relative frequency of each outcome can be calculated after a probability experiment.

Illustrative background for FormulaIllustrative background for Formula ?? "content


  • Relative frequency = frequency ÷ number of trials.
    • If a dice was rolled 150 times and the result was a 4 in 25 of those rolls then the relative frequency of 4 was 25 ÷ 150 = 16.
Illustrative background for Expected frequencyIllustrative background for Expected frequency ?? "content

Expected frequency

  • The relative frequency of an outcome in one experiment can be used to calculate the expected outcomes of future experiments:
    • expected frequency = relative frequency × number of trials
Illustrative background for Fair or biased?Illustrative background for Fair or biased? ?? "content

Fair or biased?

  • If the relative frequency of a result is very different from what you’d expect from a fair dice or coin then you can conclude that the dice or coin is probably biased.
  • Otherwise you can conclude that it is probably fair.

Jump to other topics


1.1Place Value

1.2Factors & Multiples


1.4Fractions, Decimals & Percentages

1.5Growth & Decay

1.6Measurements & Units



3Ratio, Proportion & Rates of Change

4Geometry & Measures



Go student ad image

Unlock your full potential with GoStudent tutoring

  • Affordable 1:1 tutoring from the comfort of your home

  • Tutors are matched to your specific learning needs

  • 30+ school subjects covered

Book a free trial lesson