AC9M8P01

Elaborations

• AC9M8P01_E1understanding that knowing the probability of an event allows the probability of its complement to be found, including for those events that are not equally likely, such as getting a specific novelty toy in a supermarket promotion
• AC9M8P01_E2using the relationship that for a single event A, Pr(A)+Pr( not A) = 1; for example, if the probability that it rains on a particular day is 80%, the probability that it does not rain on that day is 20%, or the probability of not getting a 6 on a single roll of a fair dice is 1-1/6=5/6
• AC9M8P01_E3using the sum of probabilities to solve problems, such as the probability of starting a game by throwing a 5 or 6 on a dice is 1/3 and probability of not throwing a 5 or 6 is 2/3
• AC9M8P01_E4investigating how various applications of artificial intelligence use the probability of complementary events when assessing the likelihood of favourable and unfavourable outcomes and making informed decisions based on these probabilities; for example, in binary classification problems where data is classified into one of two categories, such as spam or not spam, fraud or not fraud