Probability B

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Probability B (Path) | NSW Curriculum Website

• MA5-PRO-P-01 solves problems involving Venn diagrams, 2-way tables and conditional probability

📖 Prior Knowledge

Content	Prerequisite relationships
Probability	- Calculate theoretical probability → Represent data in Venn diagrams and 2-way tables
Probability A	- Distinguish independent and dependent events → Calculate conditional probabilities

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 $A^{\prime }$ 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