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Create random generators and describe probabilities using fractions

• Create random generators to follow specified probabilities or proportions.

• Record the outcomes for chance experiments where the outcomes are not equally likely to occur and assign probabilities to the outcomes using fractions (denominators of 2, 3, 4, 5, 6, 8 and 10).

• Use knowledge of benchmark fractions, decimals and percentages to assign probabilities to the likelihood of outcomes.

Conduct chance experiments with both small and large numbers of trials

• Assign expected probabilities to outcomes in chance experiments with random generators, including digital simulators, and compare the expected probabilities with the observed probabilities after both small and large numbers of trials.

• Determine and discuss the differences between the expected probabilities and the observed probabilities after both small and large numbers of trials.

• Determine the likely make up of a large collection of objects, by sampling objects and returning them to the collection before the next sample.