The Venn diagram shows the probabilities associated with three events DDD, E E\,E and FFF, representing users of three social media apps. The probability of using only D D\,D is 0.1, only E E\,E is 0.35, and only F F\,F is 0.2. The intersection D∩E D \cap E\,D∩E is q q\,q and E∩F E \cap F\,E∩F is ppp. Events D D\,D and F F\,F have no common outcomes. The probability of using none of the apps is rrr.
Write down the two events that are mutually exclusive.
Given that P(E∣F)=0.2P(E | F) = 0.2P(E∣F)=0.2, find the value of ppp.
Given also that D D\,D and E E\,E are independent, find the values of q q\,q and rrr.
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.