The Venn diagram shows three events DDD, E E\,E and FFF. Events D D\,D and E E\,E overlap, while event F F\,F is separate from both of them. The probability in the region belonging to D D\,D only is 0.12, and the probability outside all three events is 0.14. The other regions are labelled as follows: D D\,D and E E\,E only has probability ppp, E E\,E only has probability qqq, and F F\,F only has probability rrr.
Write down two of the events that are mutually exclusive.
The probability of D D\,D is 0.52.
The probability of D D\,D or E E\,E is 0.76.
Find the values of ppp, q q\,q and rrr.
State, giving a reason, whether or not the events D D\,D and E E\,E are statistically independent.
34 exam-style questions on Edexcel AS Level Maths Probability, covering 5.1 Calculating Probabilities, 5.2 Venn Diagrams, 5.3 Mutually Exclusive and Independent Events, and 5.4 Tree Diagrams. Each one has a worked solution and a mark scheme showing where the marks go.