AC9M5P01
list the possible outcomes of chance experiments involving equally likely outcomes and compare to those which are not equally likely
Elaborations
- AC9M5P01_E1discussing 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
- AC9M5P01_E2discussing 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
- AC9M5P01_E3investigating 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
- AC9M5P01_E4commenting on the chance of winning games by considering the number of possible outcomes and the consequent chance of winning
- AC9M5P01_E5investigating 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?”
- AC9M5P01_E6comparing 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
- AC9M5P01_E7discussing supermarket promotions such as collecting stickers or objects and whether there is an equal chance of getting each of them
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