In a fitness club with 150 members, participants are classified as Swimmers, Runners, or Cyclists. The following table shows the number of members in each category and whether they follow a specific Diet plan or Not.
The events SSS, RRR, and C C\,C are that a member is a Swimmer, Runner, or Cyclist respectively. Let D D\,D be the event that a member follows a diet plan.
A member is selected at random. Find:
P(R)P(R)P(R)
P((S∩D)′)P((S \cap D)')P((S∩D)′)
P(D∣C)P(D | C)P(D∣C)
Let Y Y\,Y be the event that a member practices Yoga. Given that 20% of Swimmers practice Yoga, 10% of Runners practice Yoga, and 15% of Cyclists practice Yoga,
describe the structure of a Venn diagram to represent the events S,R,C S, R, C\,S,R,C and YYY.
find the probability that a randomly selected member practices Yoga.
368 exam-style questions on Edexcel A Level Maths Conditional Probability, covering 2.1 Set Notation, 2.2 Conditional Probability, 2.3 Conditional Probabilities in Venn Diagrams, 2.4 Probability Formulae, and 2.5 Tree Diagrams. Each one has a worked solution and a mark scheme showing where the marks go.