Math  /  Data

QuestionA reality show is voting on three cities: Paris (P), Orlando (O), Dublin (D). Determine the winning city using plurality.
A. Which city wins in head-to-head comparisons? B. Which city wins by plurality? C. Does head-to-head criterion hold? Why or why not?

Studdy Solution
The head-to-head criterion is not satisfied because the city that wins the vote using the plurality method (Dublin) is not the same as the city favored over all others using a head-to-head comparison (Dublin). This discrepancy occurs because the plurality method only considers first-choice votes, while the head-to-head comparison considers all preferences.
A. The city favored over all others using a head-to-head comparison is Dublin (). B. The city that wins the vote using the plurality method is Dublin (). C. The head-to-head criterion is not satisfied because the city that wins the vote using the plurality method (Dublin) is not the same as the city favored over all others using a head-to-head comparison (Dublin).

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