Leroy asks 50 people which sports they watch. They can choose from football, golf and hockey. 5 people watch all three sports. 8 people watch football and golf. 7 people watch golf and hockey. k k\,k people watch football and hockey, where k k\,k is an integer and 5≤k≤155\le k\le155≤k≤15. 31 people watch football. 13 people watch golf. 17 people watch hockey.
Draw a Venn diagram for this information.
One of the people is selected at random. Given they watch football, find the probability they do not watch hockey in terms of kkk.
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.