AC9M10P02 Year 10 Mathematics

Content descriptor design and conduct repeated chance experiments and simulations using digital tools to model conditional probability and interpret results

Elaborations

• • Elaboration using samples of different sizes with and without replacement from a population to identify when the difference in methods becomes negligible
• • Elaboration recognising that an event can be dependent on another event and that this will affect the way its probability is calculated
• • Elaboration using simulations to gather data on frequencies for situations involving chance that appear to be counter-intuitive, such as the three-door problem or the birthday problem
• • Elaboration identifying situations in real-life where probability simulations are used for decision-making, such as supply and demand of product, insurance risk and queueing
• • Elaboration using simulation to predict the number of people likely to be infected with a strain of flu or virus