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Mathematics, 13.07.2021 03:20 sanders183

30 teachers were asked their preference for three newspapers, namely graphic, times and chronicle. 20 liked graphic, six (6) liked graphic and chronicle, and four (4) liked times and chronicle. five (5) liked times only, and four (4) liked graphic and times only. all teachers liked at least one of the three papers. if the number of teachers who liked all the three newspapers was three (3) times that of those who preferred times and chronicle only, and the number of teachers who liked times exceed those who preferred chronicle by two (2), illustrate this information on a venn diagram. (a) find the number of teachers who liked: (i) times, (ii) chronicle, (iii) chronicle only, (iv) graphic and chronicle only. (b) find the probability a teacher selected at random liked graphic or times but not chronicle.​

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