HSS-CP.A.1 WORKSHEET #5 – PATTERSON Name: _____________________________ 1 1. Determine the number of students that fit the given description and then shade the Venn diagram. a) Number of students in Chemistry. _________ b) Number of students in Physics. c) Number of students Not in Chemistry. d) Number of students in both Chemistry and Physics. _________ _________ _________ 2. Out of 50 students, 33 are taking AP Calculus and 14 are taking AP World AND not Calculus. Fill out the Venn diagram with the information and then determine how many students are not taking either of these classes? __________ 3. Out of 50 students, 28 are taking AP Calculus and 19 are taking AP World and 10 are taking both. Fill out the Venn diagram with the information and then determine how many students are just taking AP Calculus and Not AP World? __________ 4. In a class of 50 students, 18 take Chorus, 26 take Band, and 2 take both Chorus and Band. How many students in the class are not enrolled in either Chorus or Band? 5. In a school of 300 students, 90 students are in the band, 185 students are on sports teams, and 60 students participate in both activities. How many students are involved in either band or sports? 6. A veterinarian surveys 26 of his patrons. He discovers that 14 have dogs, 10 have cats, and 5 have fish. Four have dogs and cats, 3 have dogs and fish, and one has a cat and fish. If no one has all three kinds of pets, how many patrons have none of these pets? 7. From a survey of 100 college students, a marketing research company found that 75 students owned stereos, 45 owned cars, and 35 owned cars and stereos. a) How many students owned either a car or a stereo? ___________ b) How many students did not own either a car or a stereo? ____________ HSS-CP.A.1 WORKSHEET #5 – PATTERSON 2 8. In a class there are 38 students. 24 students like Math 17 students like English 8 students don't like Math or English How many students like both Math and English? ___________ 9. There are 21 cars at the used car dealership. 12 cars are diesels. 5 cars are automatics. 3 cars are automatic diesels. How many cars are not automatic and not a diesel? __________ 10. Create the Venn diagram. If U, the Universal Set, represents the outcomes of a set of 10 cards numbered 1 to 10. You choose a card at random. Event A = Numbers less than 7 = { } Event B = odd #’s = { } Event C = {5, 10} a) P (A) = _____ b) P (BC) = _____ c) P (A B) = _____ d) P (A C) = _____ e) P (A C) = _____ f) P (A B) C = _____ g) P (A B C) = _____ h) P (A B C) = _____ 11. Determine what regions make up the given probabilities – shade the Venn Diagram. P(A or B) = ___________________ P(Union) P(B and C) = _________________ P(Intersection) P((A or B or C)c = ______________ P(Not Union) P(A or B or C) = _______________ P(Union) HSS-CP.A.1 WORKSHEET #5 – PATTERSON 3