Three friends are trying to decide what to do on Saturday night. The options are to go to a party, go see a play, or hang out at their apartment. Abdul prefers to see a play over going to the party, which he prefers to hanging out. Gina prefers to hang out over seeing a play, which she prefers to going to the party. Shaquille would most like to go to the party, his second choice is to hang out, and the play is his least preferred option. In the spirit of democracy, they decide to vote on their options. In a three-way vote, they each vote for a different choice, leading to a tie and failing to solve their problem. They thus decide to consider the options in pairs. 2nd attempt Part 1 (1 point) Shaquille suggests that they first vote on hanging out versus going to the play and then vote on the winner of that versus going to the party. Which option will be chosen? Choose one: A. Go to the play. B. Go to the party. C. Hang out. Part 2 (1 point) Gina suggests that they vote first on going to the play or going to the party and then consider the winner versus hanging out. Which option will be chosen? Choose one: A. Go to the play. B. Go to the party. C. Hang out Part 3 (1 point) What choices should Abdul recommend voting on first if he wants to get his preferred option? Choose one: A. hanging out versus going to the play B. going to the play versus going to the party Changing out versus going to the party Part 4 (1 point) Are the collective preferences of the three friends, as demonstrated by their voting mechanism, transitive? Choose one: A. yes В. no C. not enough information to say