2. Janice polled her friends on social media and asked them to rate four flavors of ice cream (C = chocolate, V = vanilla, S = strawberry, P = pistachio). The preference schedule created from their replies is shown. Which of the following would create a majority winner if added to the preference schedule? number of votes 5 6 7 9 SSCV CVVC VPSS PCPP 1st 2nd 3rd 4th Add 4 first-place votes to strawberry in preference order (S, C, V, P) to create a majority winner. Add 5 first-place votes to chocolate in preference order (C, V, S, P) to create a majority winner. Add 6 first-place votes to strawberry in preference order (S, V, P, C) to create a majority winner. There is no need to add anything to the schedule, as there is already a majority winner.

Members of a music club are choosing a new club logo. The choices are a guitar (G), a keyboard (K), and a musical note (N). Each member ranks three choices from first to third. The preference table below shows the results of the ballots. How many members voted? Number of Votes First Choice Second Choice Third Choice 19 8 G K K N K G N K N N G G members voted

The students in a class get to decide on the color of the classroom. The two choices are blue and yellow. Polling shows yellow is preferred by a small majority, 53% for yellow to 47% for blue. However, before the vote is held, a new color choice is added: red. Not a lot of people like red, but there are some yellow supporters who would actually vote for red. The results of the vote are below. Blue Yellow Red 46% 44% 10% What statement below is correct about adding a third choice to the plurality vote? O a Ob Oc d Red did not win the vote, but it draws enough support away from yellow to make blue the winner, even though a majority of students preferred yellow over blue when there were two choices. Red did not win the vote, but it had no effect on drawing enough support away from yellow to make blue the winner, even though a majority of students preferred yellow over blue when there were two choices. Red did not win the vote, so because of this, yellow should win the vote over blue.…

Earlier we saw that Channel 6 News ran a poll on social media asking their followers to rank four local celebrities in order from their favorite to least favorite. The preference schedule is given again below. 21 Number of Votes 1st choice 19 17 16 14 13 Leo Mikey Donnie Leo Mikey Leo Donnie Raph Donnie Raph Leo 2nd choice Donnie Leo 3rd choice Mikey Raph Donnie Mikey Raph Leo Donnie 4th choice Raph Raph Mikey Mikey This time, who should be proclaimed the Channel 6 News followers' favorite local celebrity if Copeland's Method is used? Type your work and your answer below. Make sure to be detailed with your work.

A local cafe is offering free samples for fifteen different coffee flavors. After sampling, the customer must rank the flavors in order of preference. What are the chances that you guess the 2 least liked flavors correctly and in the correct order?

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Members of a music club are choosing a new club logo. The choices are a guitar (G), a keyboard (K), and a musical note (N). Each member ranks three choices from first to third. The preference table below shows the results of the ballots. How many members voted? Number of Votes First Choice Second Choice Third Choice members voted 13 G K N 9 K G N 4 K N G 1 N K G

Students at your college are given the option of choosing a (4) topic for which a speaker will be selected. Students are asked to rank three topics: Technology (T), Environmental Issues (E), and Terrorism in the Name of Religion (R). The results of the election are shown in the following preference table. Number of Votes 70 30 10 5 First Choice R T T E Second Choice E R E T Third Choice T E R R a. How many students voted? b. How many students selected the topics in this order: T, E, R? How many students selected technology as their first choice for a speaker's topic? d. How many students selected environmental issues as their second choice for a speaker's topic?

In a recent survey, people were asked to vote for their favorite films of all time. The five movies were A, B, C, D, and E. Use the following hypothetical results and answer the questions below. Number of Votes 21 First Choice Second Choice ZABDEC FOABDE Third Choice Forth Choice Fifth Choice 17 14 C D A C B E DUBAED 10 ... Using the Borda count method, which movie came in first place? A. Movie A B. Movie E OC. Movie C OD. Movie B OE. Movie D Using the Borda count method, how many points did the first place movie get?

The 9 members of the Town Board must decide where to build a new post office. Their three choices are Lehigh Road​ (L), Erie Road​ (E), and Ontario Road​ (O). The preference table follows to the right. Determine the winner using the pairwise comparison method. Number of Ballots Number of votes 4 2 3 First E O L Second O L O Third L E E Choose the correct answer below.     A. Lehigh   B. Erie   C. Ontario   D. There is no winner. There is a tie between Ontario and Erie.   E. There is no winner. There is a​ three-way tie.