#1: (Section 7.2) For the following problem, draw the Venn diagram and fill in each region with the number of elements for that region. Then answer the questions (a – e) about the survey. Finitetown decided to hold a street festival and 75 families attended. The festival coordinator conducted a survey and collected the following information. 15 families brought food, costumes, and crafts 25 families brought food and crafts 42 families brought food 35 families brought crafts 14 families brought crafts but not costumes 10 families brought none of the three items 18 families brought costumes but not crafts. a) How many families brought costumes and food? b) How many families brought costumes? c) How many families brought food, but not costumes? d) How many families did not bring costumes? e) How many families brought food or costumes?
M118, Forum 6b, pg 2
#2: (Section 7.3)
For the following problem, write out the sample space S , give the value of ) (Sn , and tell whether the outcomes are equally likely. Then write the indicated events in parts a – c in set notation.
A Finite student must take a 3-question True/False quiz before class over the day’s discussion material. But the student did not read the textbook section and must guess the answer to each question. So each answer is equally likely to be correct or wrong. a) The student gets three answers wrong. b) The students gets exactly two answers correct. c) The student gets only the first answer correct.
#3: (Section 7.4)
The numbers 15, 16, 17, 18, 19 are written on slips of paper, and 2 slips are drawn at random one at a time without replacement. Find the probability of each of the following. a) Both numbers are even. b) One of the numbers is even or greater than 17. c) The sum is 33 or the second number is 16.