AC9M5P01 Year 5 Mathematics

Content descriptor list the possible outcomes of chance experiments involving equally likely outcomes and compare to those which are not equally likely

Elaborations

• • Elaboration discussing what it means for outcomes to be equally likely and comparing the number of possible and equally likely outcomes of chance events; for example, when drawing a card from a standard deck of cards there are 4 possible outcomes if you are interested in the suit, 2 possible outcomes if you are interested in the colour or 52 outcomes if you are interested in the exact card
• • Elaboration discussing how chance experiments that have equally likely outcomes can be referred to as random chance events; for example, if all the names of students in a class are placed in a hat and one is drawn at random, each person has an equally likely chance of being drawn
• • Elaboration investigating how bias and fairness can relate to outcomes being equally and not equally likely, and discussing how this might inform strategies for mitigating bias in AI systems
• • Elaboration commenting on the chance of winning games by considering the number of possible outcomes and the consequent chance of winning
• • Elaboration investigating why some games are fair and others are not; for example, drawing a track game to resemble a running race and taking it in turns to roll 2 dice, where the first runner moves a square if the difference between the 2 dice is zero, one or 2 and the second runner moves a square if the difference is 3, 4 or 5; responding to the questions, “Is this game fair?”, “Are some differences more likely to come up than others?” and “How can you work that out?”
• • Elaboration comparing the chance of a head or a tail when a coin is tossed, whether some numbers on a dice are more likely to be facing up when the dice is rolled, or the chance of getting a 1, 2 or 3 on a spinner with uneven regions for the numbers
• • Elaboration discussing supermarket promotions such as collecting stickers or objects and whether there is an equal chance of getting each of them