#StatisticsAndProbability #Core >[!info]- [Probability | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-4/faeb7df99f) >- MA4-PRO-C-01 solves problems involving the probabilities of simple chance experiments ## 📖 Prior Knowledge | Content | Prior knowledge | Used for | | ---------------------------------- | ------------------------------------------ | ---------------------------------------------------------------------------------------------------------------------------------- | | [[Chance B]] | - describing probabilities using fractions | - interpreting and calculating probability and relative frequency | | [[Fractions Decimals Percentages]] | - converting FDP<br>- operations with FDP | - expressing probabilities as decimals and fractions<br>- calculations involving probabilities<br>- calculating expected frequency | ## [[Determine probabilities for chance experiments.pdf]] - List the sample space for chance experiments - Express the probability of an event, which has a finite number of equally likely outcomes, as $P(\text{event})=\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}$ - Recognise that probabilities range from 0 (impossible) to 1 (certain) and that equally likely outcomes have equal probabilities - Verify that the total of the probabilities of all possible outcomes of an event is 1 - Identify and describe theoretical (expected) probabilities as being the likelihood of outcomes occurring under fair or unbiased conditions - Explain that observed probability is the relative frequency resulting from repeated trials of a simulation and determine observed probabilities - Explore relative frequencies by using a random number generator to repeat a chance experiment a number of times ## [[Determine probabilities for complementary events.pdf]] - Identify and describe the complement of an event - Verify that the sum of the probability of an event and its complement is a total of 1 - Solve problems involving the probability of complementary events - Represent the possible outcomes for complementary events in various forms