Two events A and B are such that P(A)=kP(A) = kP(A)=k and P(B)=0.5P(B) = 0.5P(B)=0.5 and P(A and B)=0.4P(A \text{ and } B) = 0.4P(A and B)=0.4, where 0.4<k<0.90.4 < k < 0.90.4<k<0.9
Draw a Venn diagram for this information, giving the probability in each region in terms of k k\,k where necessary.
186 exam-style questions on Edexcel A Level Maths Probability, covering 5.1 Calculating Probabilities, 5.2 Venn Diagrams, 5.3 Mutually Exclusive and Independent Events, and 5.4 Tree Diagrams. Each one has a worked solution and a mark scheme showing where the marks go.