Conditional probability and independence
Mathematical Methods · Unit 1 — Surds, algebra, functions and probability · Probability
Learning objectives (7)
LO-1Model and solve problems that involve probability, with and without technology.LO-2Understand and use the notion of independence of an event 𝐴 from an event 𝐵, as defined by 𝑃(𝐴|𝐵) = 𝑃(𝐴).LO-3Understand the notion of a conditional probability and recognise and use language that indicates conditionality.LO-4Use relative frequencies obtained from data as point estimates of conditional probabilities and as indications of possible independence of events.LO-5Use the formula 𝑃(𝐴 ∩ 𝐵) = 𝑃(𝐴)𝑃(𝐵) for independent events 𝐴 and 𝐵.LO-6Use the notation 𝑃(𝐴|𝐵) and the formula 𝑃(𝐴 ∩ 𝐵) = 𝑃(𝐴|𝐵)𝑃(𝐵) to solve problems.LO-7Use the rules 𝑃(𝐴) = 1 − 𝑃(𝐴) and 𝑃(𝐴 ∪ 𝐵) = 𝑃(𝐴) + 𝑃(𝐵) − 𝑃(𝐴 ∩ 𝐵).
Practise these objectives with instant AI marking
Adaptive questions tied to QCAA mark schemes. Free to start.
Start free practice