AC9M8P02 Year 8 Mathematics

Content descriptor determine all possible combinations for 2 events, using two-way tables, tree diagrams and Venn diagrams, and use these to determine probabilities of specific outcomes in practical situations

Elaborations

• • Elaboration describing events using language of “at least”, exclusive “or” (A or B but not both), inclusive “or” (A or B or both) and “and”
• • Elaboration using the relation Pr(A\;and\;B)+Pr(A\;and\;not\;B)+Pr(not\;A\;and\;B)+Pr(not\;A\;and\;not\;B)=\;1 to calculate probabilities, including the special case of mutually exclusive events where Pr(A\;and\;B)\;=\;0
• • Elaboration using Venn diagrams or two-way tables to demonstrate the difference between events that are mutually exclusive, such as whether a coin toss will land on a head or a tail, or those that are not mutually exclusive, such as people who have blonde hair and people who have blue eyes
• • Elaboration exploring First Nations Australian children’s instructive games; for example, Battendi from the Ngarrindjeri Peoples of Lake Murray and Lake Albert in southern Australia, applying possible combinations and relationships and calculating probabilities using two-way tables and Venn diagrams