A group of 12 students have to decide among three types of pizza: sausage (S), mushroom (M), and beef (B). Their preference rankings are shown below. Which choice will the group make if they use the Hare system? Number of students 2 S M B First choice Second choice Third choice 3 B M S 3 M B S OA. No winner can be chosen. B. M OC.B. Ons 2 B S M 2 S B M

Determine where a family would go on vacation, if the choices are Bermuda, Mexico, and Canada, based on first preference only and using Borda Count. BMC 94, BCM 61, CMB 87, CBM 72, MBC 79, MCB 74.

A. Multiple-Choice Tests   Professor Easy's final examination has 13 true-false questions followed by 2 multiple-choice questions. In each of the multiple-choice questions, you must select the correct answer from a list of six. How many answer sheets are possible? ____ =  choices     B. Marbles   A bag contains three red marbles, four green ones, one lavender one, three yellows, and three orange marbles. How many sets of four marbles include all the red ones?  ___ = sets     ANSWER BOTH A and B

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Ten voters are asked to rank 4 brands of cell phones: A, B, C, and D. The ten voters turn in the following ballots showing their preferences in order A B B BA B B B BA AB BCA C с DACA CD D D D D D C D D Second Which of the following preference tables correctly shows the results of the voting? Select one: O a. Number of Votes 2 2 First A B Third Fourth A C в BACA CCAD D Second O b. Number of Votes 2 2 First A B A Third D C 1 B A D C 1 B A D A 1 B с D A B C Fourth D D C O c. None of these is correct. d. Number of Votes 2 2 First D 2 A 2 C C 2 3 B C A D 3 B с A D 3 B D с C

A student is taking a multiple-choice exam in which each question has four choices A, B, C, and D. Assume that the student has no knowledge of the correct answers to any of the questions. She has decided on a strategy in which she will place four balls (marked A, B, C, and D) into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are 15 multiple-choice questions on the exam. What is the probability that she will get     all 15 questions correct?   at least 10 questions correct?   no questions correct?   no more than 5 questions correct?

P 00 A company has both male and female employees. The company has shirts and jackets with the company logo to give away to employees. For each of the company's 192 employees, a manager asked which piece of clothing the employee prefers. The preferences, based on gender, are summarized in the table below. Eo Shirt Jacket Male 61 77 Female 19 35 Suppose an employee of the company is chosen at random. Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth. (a) What is the probability that the employee is female? 0 (b) What is the probability that the employee is female or prefers a jacket? 0 4