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Mathematics / Year 8 / Probability
Curriculum content descriptions
recognise that complementary events have a combined probability of one; use this relationship to calculate probabilities in applied contexts (AC9M8P01)
Elaborations
- understanding that knowing the probability of an event allows the probability of its complement to be found, including for those events that are not equally likely, such as getting a specific novelty toy in a supermarket promotion
- using the relationship that for a single event \(A\), \(Pr(A)+Pr(\;not\;A)\;=\;1\); for example, if the probability that it rains on a particular day is \(80\%\), the probability that it does not rain on that day is \(20\%\), or the probability of not getting a \(6\) on a single roll of a fair dice is \(1-\frac16=\frac56\)
- using the sum of probabilities to solve problems, such as the probability of starting a game by throwing a \(5\) or \(6\) on a dice is \(\frac13\) and probability of not throwing a \(5\) or \(6\) is \(\frac23\)
General capabilities
ScOT terms
Complementary events, Expected frequency