The events A A\,A and B B\,B are such that P(A)=0.4P(A) = 0.4P(A)=0.4, P(B)=0.5P(B) = 0.5P(B)=0.5 and P(A∣B)=0.3P(A|B) = 0.3P(A∣B)=0.3. Find
P(A∩B)P(A \cap B)P(A∩B)
P(B′∣A)P(B'|A)P(B′∣A)
P(A′∪B)P(A' \cup B)P(A′∪B)
Determine whether the events A A\,A and B B\,B are independent, give a reason for your answer.
Practise Edexcel A Level Maths Conditional Probability with exam-style questions for A Level Maths. 100 questions covering Set Notation, Conditional Probability, Conditional Probabilities in Venn Diagrams, Probability Formulae, and Tree Diagrams, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.