The events X X\,X and Y Y\,Y are such that P(X)=0.6P(X) = 0.6P(X)=0.6, P(Y)=0.25P(Y) = 0.25P(Y)=0.25 and P(X∣Y)=0.4P(X|Y) = 0.4P(X∣Y)=0.4.
Find P(X∩Y)P(X \cap Y)P(X∩Y).
Find P(Y′∣X)P(Y'|X)P(Y′∣X).
Find P(X′∪Y)P(X' \cup Y)P(X′∪Y).
Determine whether the events X X\,X and Y Y\,Y 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.