AC9M9P01

See also: Learning Areas / Mathematics / Mathematics / Probability / Year 9

list all outcomes for compound events both with and without replacement, using lists, tree diagrams, tables or arrays; assign probabilities to outcomes

Elaborations

• AC9M9P01_E1 - discussing two-step chance experiments, such as the game of Heads and Tails, describing the different outcomes and their related probabilities
• AC9M9P01_E2 - using systematic methods such as lists or arrays to record outcomes and assign probabilities, such as drawing the names of students from a bag to appoint \(2\) team leaders
• AC9M9P01_E3 - using a tree diagram to represent a three-stage event and assigning probabilities to these events; for example, selecting \(3\) cards from a deck, assigning the probability of drawing an ace, then a king, then a queen of the same suit, with and without replacing the cards after every draw
• AC9M9P01_E4 - assigning probabilities to compound events involving the random selection of people from a given population; for example, selecting \(2\) names at random from all of the students at a high school and assigning the probability that they are both in Year 9

Achievement Standard Components

• ASMAT918 - They determine sets of outcomes for compound events and represent these in various ways.
• ASMAT919 - Students assign probabilities to the outcomes of compound events.
• ASMAT920 - They design and conduct experiments or simulations for combined events using digital tools.