#StatisticsAndProbability #Path #Adv >[!info]- [Probability B (Path) | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-5/fa45bd1262) >- MA5-PRO-P-01 solves problems involving Venn diagrams, 2-way tables and conditional probability ## 📖 Prior Knowledge | Content | Prior knowledge | Used for | | ----------------- | ---------------------------------- | ------------------------- | | [[Probability A]] | - independent and dependent events | - conditional probability | ## [[Solve problems involving Venn diagrams and 2-way tables.pdf]] - Represent and interpret data in Venn diagrams for mutually exclusive and non-mutually exclusive events - Construct Venn diagrams to represent all possible combinations of 2 attributes from given or collected data - Interpret data in 2-way tables to represent relationships between attributes - Construct 2-way tables to represent the relationships between attributes - Convert between representations of the relationships between 2 attributes in Venn diagrams and 2-way tables - Define a set as a collection of distinct objects - Use Venn diagrams, set language and notation for events, including $\bar{A}$ (or $A'$ or $A^c$) for the complement of an event $A$, $A\cap B$ for '$A$ and $B (the intersection of events $A$ and $B$) and $A\cup B$ for '$A$ or $B (the union of events $A$ and $B$) and recognise mutually exclusive events ## [[Use the language, 'if … then', 'given', 'of' and 'knowing that', to examine conditional statements and identify common mistakes in interpreting the language.pdf]] - Calculate the probabilities of events where a condition restricts the sample space - Describe the effect of a given condition on the sample space - Identify conditional statements used in descriptions of chance situations - Explain the validity of conditional statements when describing chance situations, referring to dependent and independent events - Identify and explain common misconceptions relating to chance experiments ## [[Describe mutually and non-mutually exclusive events using specific language and calculate related probabilities.pdf]] - Explain the difference between mutually exclusive and non-mutually exclusive events - Describe compound events using the terms _inclusive_ _or_ and _exclusive or_ - Describe non-mutually exclusive events using the terminology _and_, _inclusive_ _or_ and _exclusive or_ - Describe events using the terms _at least_, _at most_, _not_ and _and_ - Calculate the probability of compound events using strategies including Venn diagrams and 2-way tables