Mrs. Bogues' Classroom



Venn Diagrams Worksheet #2In a class of 32 students, 11 play tennis, 13 play lacrosse, and 8 play neither of these sports. Draw a Venn diagram to determine the following probabilities of a student randomly chosen from the class.a. P(Plays tennis) =b. P(Lacrossec) =c. P(Plays at least one of the two sports) =d. P(Plays only one of the sports) =e. P(Plays lacrosse, but not tennis) =The medical records for a class of 30 children showed whether they had previously had measles or chicken pox. The records showed 7 children previously had measles, 18 had chicken pox, and 5 had measles and chicken pox. Draw a Venn Diagram and then use it to find:a. P(chicken pox)b. P(chicken pox and not measles)c. P(chicken poxc and measlesc )The 36 students in 8 Enriched were assigned three challenging problems, A, B and C. A poll of the classes, one week later, showed that each student had solved at least one of the problems. It also showed this additional information.10 students had solved all three points12 students had solved A and B17 students had solved B and C21 students had solved A and C24 students had solved A22 students had solved B 30 students had solved C a. Draw a Venn diagram.b. What is the probability a student solved problem C only?c. What is the probability a student solved problem A only?d. What is the probability a student solved exactly one problem?e. What is the probability a student solved exactly two problems?In a class of 30 students, 17 play video games and 12 watch Netflix. It turns out that 5 students play video games and watch Netflix. A student in this class is to be selected at random.Draw a Venn diagram.P (video games)P (Netflix)P (Netflix or plays video games)P (video gamesc and Netflixc)The following data was obtained from the fast food restaurants in a city:served hamburgers8 served roast beef sandwiches10 served pizza5 served hamburgers and roast beef sandwiches3 served hamburgers and pizza2 served roast beef sandwiches and pizza1 served hamburgers, roast beef sandwiches and pizza5 served none of the three foodsVenn Diagram:How many fast food restaurants are there in the city?Donald ordered a computer and a desk from two different stores. Both items are to be delivered on Tues. The probability that the computer will be delivered before noon is 0.6 and the probability that the desk will be delivered before noon is 0.8. If the probability that either the desk or the computer will be delivered before noon is 0.9, what is the probability that both will be delivered before noon?In a survey carried out in a school snack shop, the following results were obtained. Of 100 boys questioned, 78 like sweets, 74 liked ice cream, 53 liked cake, 57 liked both sweets and ice cream, 46 liked both sweets and cake, and only 31 boys liked all three. If all the boys interviewed liked at least one item, draw a Venn Diagram to illustrate the results:How many boys like both ice cream and cake? ................
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