The Venn diagram shows three events RRR, S S\,S and TTT. Events R R\,R and S S\,S overlap, while event T T\,T is separate from both of them. The probability in the region belonging to R R\,R only is 0.18, and the probability outside all three events is 0.08. The other regions are labelled as follows: R R\,R and S S\,S only has probability ppp, S S\,S only has probability qqq, and T T\,T only has probability rrr.
Write down two of the events that are mutually exclusive.
The probability of R R\,R is 0.46.
The probability of R R\,R or S S\,S is 0.74.
Find the values of ppp, q q\,q and rrr.
State, giving a reason, whether or not the events R R\,R and S S\,S 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.