The events R R\,R and S S\,S are such that P(R)=0.1P(R) = 0.1P(R)=0.1 and P(R∪S)=0.55P(R \cup S) = 0.55P(R∪S)=0.55.
Find P(R′∩S′)P(R' \cap S')P(R′∩S′).
Find P(R′∩S)P(R' \cap S)P(R′∩S).
Given also that the events R R\,R and S S\,S are independent, find P(S)P(S)P(S).
Find P(R′∪S′)P(R' \cup S')P(R′∪S′).
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.