The Venn diagram below shows the probabilities associated with three events AAA, B B\,B and CCC.
Write down the two events that are mutually exclusive.
Given that P(B∣C)=0.25P(B \mid C) = 0.25P(B∣C)=0.25, find the value of ppp.
Given also that P(A∣B)=P(A)P(A\mid B)=P(A)P(A∣B)=P(A), find the value of q q\,q and the value of rrr.
200 exam-style questions on OCR A Level Maths 2.3 Probability, covering 2.3.1 Mutually exclusive and independent events, 2.3.2 Diagrams to assist probability calculations, 2.3.3 Conditional probability (A-level only), 2.3.4 Conditional probability from first principles (A-level only), and 2.3.5 Modelling with probability. Each one has a worked solution and a mark scheme showing where the marks go.