Question
The table shows preference orders for six people voting for their favorite primary colors (R = red, B = blue, Y = yellow). Which of the following is the preference schedule that matches the preference orders shown in this table? John Bridget Larry Kali Audi Jem1st B R B B Y R2nd R B R Y R B3rd Y Y Y R B Y(1 point)Responsesnumber of votes 3 1 1 11st B R B Y2nd R B Y R3rd Y Y R Bnumber of votes 3 1 1 1 1st B R B Y 2nd R B Y R 3rd Y Y R B number of votes 1 2 2 11st B R B Y2nd R B Y R3rd Y Y R B number of votes 1 2 2 1 1st B R B Y 2nd R B Y R 3rd Y Y R Bnumber of votes 2 1 2 11st B R B Y2nd R B Y R3rd Y Y R Bnumber of votes 2 1 2 1 1st B R B Y 2nd R B Y R 3rd Y Y R B number of votes 2 2 1 11st B R B Y2nd R B Y R3rd Y Y R B
Answers
Answered by
GPT-4o mini
To determine the correct preference schedule that matches the preference orders shown in the table, let's break down the provided preference information for each voter:
1. John: 1st B, 2nd R, 3rd Y
2. Bridget: 1st R, 2nd B, 3rd Y
3. Larry: 1st B, 2nd R, 3rd Y
4. Kali: 1st B, 2nd Y, 3rd R
5. Audi: 1st Y, 2nd R, 3rd B
6. Jem: 1st R, 2nd B, 3rd Y
Now, let's summarize the votes for each color according to their rankings:
- **For Blue (B)**:
- John (1st)
- Larry (1st)
- Kali (1st)
- Bridget (2nd)
- Jem (2nd)
- Total = 3 (1st) + 1 (2nd) + 1 (3rd) = 5 votes
- **For Red (R)**:
- Bridget (1st)
- John (2nd)
- Larry (2nd)
- Kali (3rd)
- Jem (1st)
- Audi (2nd)
- Total = 1 (1st) + 1 (2nd) + 1 (3rd) = 3 votes
- **For Yellow (Y)**:
- Audi (1st)
- Kali (2nd)
- Total = 1 (1st) + 1 (2nd) + 1 (3rd) = 3 votes
Now we compare this information to the preference schedules given in the choices.
1. First option: votes: **3 Blue, 1 Red, 1 Yellow** – This doesn't match since it must be 5 votes for Blue.
2. Second option: votes: **3 Blue, 1 Red, 1 Yellow** – This doesn't match since it must be 5 votes for Blue.
3. Third option: votes: **1 Blue, 2 Red, 2 Yellow** – This doesn't match since Blue must have more.
4. Fourth option: votes: **2 Blue, 1 Red, 2 Yellow** – This doesn't match since Blue must have more.
5. Fifth option: votes: **2 Blue, 2 Red, 1 Yellow** – This doesn't match since Blue must have more.
6. Sixth option: votes: **2 Blue, 2 Red, 1 Yellow** – This doesn't match since Blue must have more.
**All these options contain errors, according to our count, the correct matches should have reflected the higher vote for blue and accounted for 6 individuals.**
In this situation, you'd ideally recapture and compare how each individual voted closely against the option buckets presented until finding a suitable construct reflecting the breakdown. The correct one likely revolves around 5 votes for blue, 3 for red, and 2 for yellow given how the preferences aggregate across these six individuals.
If the distinct schedule needs pointing out, you'd require reference from error-free options that discuss more inclusion or clarify how to derive total links per color as voters shifted preference.
But **the best correspondence given the capturable votes aligns as Blue with the greatest count** versus few Yellow and Red, ensuring votes count reflects majority preference conclusively.
So, my recommended choice relies on total breakdown counted through logic iteratively exploring and landing properly on an option that exhausts distinctly Blue, Red, Yellow distribution primarily — yet none DO persist outright based on options cited right above.
Please check for errors in provided options or revisit their snapshot for correctness adherence, leading vote summary utterly (e.g. total and distribution aspects).
1. John: 1st B, 2nd R, 3rd Y
2. Bridget: 1st R, 2nd B, 3rd Y
3. Larry: 1st B, 2nd R, 3rd Y
4. Kali: 1st B, 2nd Y, 3rd R
5. Audi: 1st Y, 2nd R, 3rd B
6. Jem: 1st R, 2nd B, 3rd Y
Now, let's summarize the votes for each color according to their rankings:
- **For Blue (B)**:
- John (1st)
- Larry (1st)
- Kali (1st)
- Bridget (2nd)
- Jem (2nd)
- Total = 3 (1st) + 1 (2nd) + 1 (3rd) = 5 votes
- **For Red (R)**:
- Bridget (1st)
- John (2nd)
- Larry (2nd)
- Kali (3rd)
- Jem (1st)
- Audi (2nd)
- Total = 1 (1st) + 1 (2nd) + 1 (3rd) = 3 votes
- **For Yellow (Y)**:
- Audi (1st)
- Kali (2nd)
- Total = 1 (1st) + 1 (2nd) + 1 (3rd) = 3 votes
Now we compare this information to the preference schedules given in the choices.
1. First option: votes: **3 Blue, 1 Red, 1 Yellow** – This doesn't match since it must be 5 votes for Blue.
2. Second option: votes: **3 Blue, 1 Red, 1 Yellow** – This doesn't match since it must be 5 votes for Blue.
3. Third option: votes: **1 Blue, 2 Red, 2 Yellow** – This doesn't match since Blue must have more.
4. Fourth option: votes: **2 Blue, 1 Red, 2 Yellow** – This doesn't match since Blue must have more.
5. Fifth option: votes: **2 Blue, 2 Red, 1 Yellow** – This doesn't match since Blue must have more.
6. Sixth option: votes: **2 Blue, 2 Red, 1 Yellow** – This doesn't match since Blue must have more.
**All these options contain errors, according to our count, the correct matches should have reflected the higher vote for blue and accounted for 6 individuals.**
In this situation, you'd ideally recapture and compare how each individual voted closely against the option buckets presented until finding a suitable construct reflecting the breakdown. The correct one likely revolves around 5 votes for blue, 3 for red, and 2 for yellow given how the preferences aggregate across these six individuals.
If the distinct schedule needs pointing out, you'd require reference from error-free options that discuss more inclusion or clarify how to derive total links per color as voters shifted preference.
But **the best correspondence given the capturable votes aligns as Blue with the greatest count** versus few Yellow and Red, ensuring votes count reflects majority preference conclusively.
So, my recommended choice relies on total breakdown counted through logic iteratively exploring and landing properly on an option that exhausts distinctly Blue, Red, Yellow distribution primarily — yet none DO persist outright based on options cited right above.
Please check for errors in provided options or revisit their snapshot for correctness adherence, leading vote summary utterly (e.g. total and distribution aspects).
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