K–10Mathematics K–10 Syllabus (2022)
Content
Stage 4
- MAO-WM-01
develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly
- MA4-PRO-C-01
solves problems involving the probabilities of simple chance experiments
List the Loading for Loading experiments
Express the Loading of an event, which has a finite number of equally likely Loading ,
as
Recognise that probabilities range from 0 (impossible) to 1 (certain) and that equally likely outcomes have equal probabilities
Verify that the total of the probabilities of all possible outcomes of an event is 1
Identify and describe theoretical (expected) probabilities as being the likelihood of outcomes occurring under fair or unbiased conditions
Explain that observed probability is the Loading resulting from repeated trials of a Loading and determine observed probabilities
Explore relative frequencies by using a Loading generator to repeat a chance experiment a number of times
Identify and describe the complement of an event
Verify that the sum of the probability of an event and its complement is a total of 1
Solve problems involving the probability of Loading
Represent the possible outcomes for complementary events in various forms