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probability

AC9M6P01

recognise that probabilities lie on numerical scales of 0 – 1 or 0% – 100% and use estimation to assign probabilities that events occur in a given context, using common fractions, percentages and decimals

Elaborations

  • AC9M6P01_E1recognising that the probability of an event occurring can be represented numerically as either a number ranging from zero to one or a percentage from 0% to 100% where zero or 0% means it won’t happen and one or 100% means it is certain to happen
  • AC9M6P01_E2using a scale of zero to one or 0% to 100% to estimate chances of events
  • AC9M6P01_E3listing the different possible outcomes for rolling a dice and using a scale to locate the relative probability by considering the chance of more or less than for each possible event; for example, the probability of getting a number greater than 4
  • AC9M6P01_E4recognising the language used to describe situations involving uncertainty, such as what it means to be lucky, a 75% chance of rain or a 1-in-100 years flood
  • AC9M6P01_E5exploring how probabilities are used in artificial intelligence for machine learning and decision-making; for example, when choosing a video on a streaming service or travelling in a self-driving autonomous car, where artificial intelligence algorithms estimate the probability of a pedestrian crossing the road, which helps the autonomous car make decisions about when to stop or slow down
  • AC9M6P01_E6exploring First Nations Australian children’s instructive games, such as Weme from the Warlpiri Peoples of Central Australia, to investigate and assign probabilities that events will occur, indicating their estimated likelihood

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Practice Questions — Probability
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AC9M6P01 – recognise that probabilities lie on numerical scales of 0 – 1 or 0% – 100% and use estimation to assign probabilities that events occur in a given context, using common fractions, percentages and decimals | LessonForge