These lessons will involve the students in investigating and understanding:
The use of set theory to discuss experiments, outcomes, sample spaces
KAPractice: Subsets of sample spaces
KAPractice: Basic set notation
The basic rules of probability (AND/OR), mutually exclusive events, through the use of Venn diagrams
The use of the formulae:
• Addition Rule (for mutually exclusive events only): P(A U B) = P(A) + P(B)
• Addition Rule (General Case): P(A U B) = P(A) + P(B) − P(A ∩ B)
KAPractice: Adding probabilities
• Multiplication Rule (Independent Events): P(A ∩ B) = P(A) × P(B)
KACompound probability of independent events
KAPractice: Independent probability
KAPractice: Probabilities of compound events
• Multiplication Rule (General Case): P(A ∩ B) = P(A) × P (B | A)
KAPractice: Dependent probability
KAPractice: Multiplying dependent probabilities
The use of tree diagrams
Mathsisfun: Tree Diagrams