The events X X\,X and Y Y\,Y are such that P(X)=0.6P(X) = 0.6P(X)=0.6, P(X∩Y)=0.12P(X \cap Y) = 0.12P(X∩Y)=0.12 and P(X∣Y)=0.3P(X|Y) = 0.3P(X∣Y)=0.3.
Find P(Y)P(Y)P(Y).
Find P(X∪Y)P(X \cup Y)P(X∪Y).
Find P(Y∣X′)P(Y|X')P(Y∣X′).
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.