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Support · Mathematics Advanced 11–12 – Year 11 · Probability and data

Support Use the formula P(A|B) = (P(A∩B))/(P(B)), and the test P(A,B) = P(A) for independence to prove that if two events are independent, then P(A∩B) = P(A) × P(B), and to prove conversely that if P(A∩B) = P(A) × P(B), then A and B are independent

Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.

Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.

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Prerequisite dot points

Explain how the probability of independent and dependent events differs in relation to replacement

Stage 5 · Probability A Draft mapping

No checked resources on this prerequisite dot point yet.

Explain the difference between dependent and independent events in experiments involving 2 stages

Stage 5 · Probability A Draft mapping

Determine the probabilities of outcomes for multistage independent events using P(AandB) = P(A) × P(B), where necessary

Stage 5 · Probability A Draft mapping