The events A and B are such that P(A)=kP(A) = kP(A)=k, P(B)=12\displaystyle P(B) = \frac{1}{2}P(B)=21 and P(A∣B)=14\displaystyle P(A|B) = \frac{1}{4}P(A∣B)=41.
Find P(A∩B)P(A \cap B)P(A∩B)
Find P(B′∣A)P(B'|A)P(B′∣A)
Find P(A′∪B)P(A' \cup B)P(A′∪B)
Determine whether the events A and B are independent, give a reason for your answer.
368 exam-style questions on Edexcel A Level Maths Conditional Probability, covering 2.1 Set Notation, 2.2 Conditional Probability, 2.3 Conditional Probabilities in Venn Diagrams, 2.4 Probability Formulae, and 2.5 Tree Diagrams. Each one has a worked solution and a mark scheme showing where the marks go.