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confusing! 4. A group of 20 food critics attended a restaurant and were served an entree, a main course, and a dessert. Each critic recorded

confusing!

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4. A group of 20 food critics attended a restaurant and were served an entree, a main course, and a dessert. Each critic recorded which of the three courses they enjoyed. Of the 20 critics: 5 critics enjoyed all three courses; 3 critics enjoyed only the entree; 1 critic only enjoyed the main course; 2 critics enjoyed only the dessert; 6 enjoyed the entree and the main; 9 enjoyed the main and the dessert; 7 enjoyed the entree and the dessert. a) Let E represent the set of critics who enjoyed the entree, M represent the set of critics who enjoyed the main course, and D represent the set of critics who enjoyed the dessert. Represent the information in a Venn diagram, clearly labelling each region. b ) Using your Venn diagram, determine the number of critics who enjoyed: i ) exactly one course; ii ) two or more courses; iii) none of the courses. C What is the proportion of critics who enjoyed: i) the main course; ii) the main course and the entree; iii) the entree or the dessert

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