Probability Revision 2-Problem Solving

PROBABILITY REVISION 2

WORKSHEETS AND STEP-BY-STEP SOLUTIONS

Learning Outcomes:

• Venn diagrams and the addition theorem

• Multi-stage experiments and the product rule

• Mutually Exclusive Events

• Probability tree diagrams

• Complementary Events

Also comply with Australian Curriculum

• Review the concepts and language of outcomes, sample spaces and events as sets of outcomes (ACMMM049)
• Use set language and notation for events, including A` for the complement of an event A, A∩B for the intersection of events A and B, and AՍB for the union, and recognise mutually exclusive events (ACMMM050)
• Use everyday occurrences to illustrate set descriptions and representations of events, and set operations. (ACMMM051)
• Review probability as a measure of ‘the likelihood of occurrence’ of an event (ACMMM052)
• Review the probability scale: 0 ≤ P(A) ≤1 for each event A, with P(A) = 0 if A is an impossibility and P(A) = 1 if A is a certain (ACMMM053)
• Review the rules: P(A`) = 1 − P(A) and P(A∪B) = P(A) + P(B) − P(A∩B) (ACMMM054)