Questions: If Penny, Liz, and Tom go into a three-way runoff, which candidate would win? a) Liz b) Penny c) Tom

If Penny, Liz, and Tom go into a three-way runoff, which candidate would win? a) Liz b) Penny c) Tom
Transcript text: If Penny, Liz, and Tom go into a three-way runoff, which candidate would win? a) Liz b) Penny c) Tom
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Solution

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To determine which candidate would win in a three-way runoff between Penny, Liz, and Tom, we need to analyze the preferences of the voters based on the given data. The table provides the percentage of the population for each voter type and their ranked preferences.

Let's break down the preferences for each voter type:

  1. Voter Type i (16%):

    • 1st Choice: Kemi
    • 2nd Choice: Liz
    • 3rd Choice: Penny
    • 4th Choice: Rishi
    • 5th Choice: Tom

    In the runoff, Liz is preferred over Penny and Tom.

  2. Voter Type ii (11%):

    • 1st Choice: Liz
    • 2nd Choice: Kemi
    • 3rd Choice: Tom
    • 4th Choice: Penny
    • 5th Choice: Rishi

    In the runoff, Liz is preferred over Penny and Tom.

  3. Voter Type iii (7%):

    • 1st Choice: Liz
    • 2nd Choice: Kemi
    • 3rd Choice: Penny
    • 4th Choice: Tom
    • 5th Choice: Rishi

    In the runoff, Liz is preferred over Penny and Tom.

  4. Voter Type iv (9%):

    • 1st Choice: Penny
    • 2nd Choice: Kemi
    • 3rd Choice: Liz
    • 4th Choice: Rishi
    • 5th Choice: Tom

    In the runoff, Penny is preferred over Liz and Tom.

  5. Voter Type v (15%):

    • 1st Choice: Penny
    • 2nd Choice: Kemi
    • 3rd Choice: Rishi
    • 4th Choice: Tom
    • 5th Choice: Liz

    In the runoff, Penny is preferred over Liz and Tom.

  6. Voter Type vi (4%):

    • 1st Choice: Rishi
    • 2nd Choice: Penny
    • 3rd Choice: Kemi
    • 4th Choice: Liz
    • 5th Choice: Tom

    In the runoff, Penny is preferred over Liz and Tom.

  7. Voter Type vii (5%):

    • 1st Choice: Rishi
    • 2nd Choice: Penny
    • 3rd Choice: Tom
    • 4th Choice: Liz
    • 5th Choice: Kemi

    In the runoff, Penny is preferred over Liz and Tom.

  8. Voter Type viii (6%):

    • 1st Choice: Rishi
    • 2nd Choice: Tom
    • 3rd Choice: Penny
    • 4th Choice: Kemi
    • 5th Choice: Liz

    In the runoff, Tom is preferred over Penny and Liz.

  9. Voter Type ix (6%):

    • 1st Choice: Tom
    • 2nd Choice: Rishi
    • 3rd Choice: Penny
    • 4th Choice: Kemi
    • 5th Choice: Liz

    In the runoff, Tom is preferred over Penny and Liz.

  10. Voter Type x (13%):

    • 1st Choice: Tom
    • 2nd Choice: Rishi
    • 3rd Choice: Penny
    • 4th Choice: Liz
    • 5th Choice: Liz

    In the runoff, Tom is preferred over Penny and Liz.

  11. Voter Type xi (14%):

    • 1st Choice: Penny
    • 2nd Choice: Liz
    • 3rd Choice: Kemi
    • 4th Choice: Rishi
    • 5th Choice: Tom

    In the runoff, Penny is preferred over Liz and Tom.

Now, let's tally the preferences for each candidate in the runoff:

  • Liz: 16% + 11% + 7% = 34%
  • Penny: 9% + 15% + 4% + 5% + 14% = 47%
  • Tom: 6% + 6% + 13% = 25%
Answer

The answer is b) Penny

Explanation
Option a: Liz

Liz receives 34% of the votes in the runoff.

Option b: Penny

Penny receives 47% of the votes in the runoff, making her the winner.

Option c: Tom

Tom receives 25% of the votes in the runoff.

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