The events E E\,E and F F\,F are such that P(E)=0.2P(E) = 0.2P(E)=0.2 and P(E∪F)=0.6P(E \cup F) = 0.6P(E∪F)=0.6.
Find P(E′∩F′)P(E' \cap F')P(E′∩F′).
Find P(E′∩F)P(E' \cap F)P(E′∩F).
Given also that the events E E\,E and F F\,F are independent, find P(F)P(F)P(F).
Find P(E′∪F′)P(E' \cup F')P(E′∪F′).
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.