#StatisticsAndProbability #Core >[!info]- [Probability A | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-5/fadd685070) >- MA5-PRO-C-01 solves problems involving probabilities in multistage chance experiments and simulations ## 📖 Prior Knowledge | Content | Prior knowledge | Used for | | ------------------------------------ | -------------------------------------------------------------- | ----------------------------------- | | [[Stage 4/Probability\|Probability]] | - probability of single-stage events<br>- complementary events | - probability of multi-stage events | ## [[Describe multistage chance experiments involving independent and dependent events.pdf]] - Explain the difference between dependent and independent events in experiments involving 2 stages - Explain how the probability of independent and dependent events differs in relation to replacement ## [[Solve problems for multistage chance experiments.pdf]] - Record all possible outcomes for multistage chance experiments - Determine the probabilities of outcomes for multistage independent events using $P(A\ \text{and}\ B)=P(A)\times P(B)$ where necessary - Determine the probabilities of outcomes for multistage dependent events - Associate complementary events with probabilities in multistage chance experiments ## Design and use simulations to model and examine situations involving probability - Design and conduct a probability simulation, modelling probabilities of events, using digital tools - Record and use the results of a probability simulation to predict future events - Apply reasoning to evaluate the simulation and its related outcomes