Events AAA and BBB are such that:
P(A∩B)=0.2 P(A \cap B) = 0.2 P(A∩B)=0.2 P(A′∩B′)=0.1 P(A' \cap B') = 0.1 P(A′∩B′)=0.1 P(B)=3P(A) P(B) = 3P(A) P(B)=3P(A)Find P(A)P(A)P(A).
Find P(B∣A)P(B|A)P(B∣A).
Determine if AAA and BBB are independent events.
200 exam-style questions on OCR A Level Maths 2.3 Probability, covering 2.3.1 Mutually exclusive and independent events, 2.3.2 Diagrams to assist probability calculations, 2.3.3 Conditional probability (A-level only), 2.3.4 Conditional probability from first principles (A-level only), and 2.3.5 Modelling with probability. Each one has a worked solution and a mark scheme showing where the marks go.