Probability B

Probability B (Path) | NSW Curriculum Website

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

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 $\overset{ˉ}{A}$ (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

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

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