Question

Use what you have learned about mutually inclusive and exclusive events.

Apply the formula for calculating the probability of events A or B.



There are four presidential candidates in a country. A street survey was conducted asking 2,500 registered voters which candidate they will vote for in the coming election. The table summarizes the results of the survey.

Presidential Candidates Number of Supporters
Candidate 1 250
Candidate 2 1,250
Candidate 3 450
Candidate 4 550


Part 1: What is the probability of randomly selecting a person who will vote for Candidate 1 or 2?

(2 points)
Responses

2502500
250 over 2500

15002500
1500 over 2500

10002500
1000 over 2500

12502500
1250 over 2500
Question 2
Part 2: If 1,000 more voters are surveyed, how many of them will likely prefer Candidate 3 or 4? Show your work and explain your answer.(2 points)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To calculate the probability of selecting a person who will vote for Candidate 3 or 4, we need to add the number of supporters for Candidate 3 and Candidate 4 and then divide by the total number of voters surveyed.

Number of supporters for Candidate 3: 450
Number of supporters for Candidate 4: 550

Total number of supporters for Candidate 3 or 4: 450 + 550 = 1,000

Total number of voters surveyed after adding 1,000 more voters: 2,500 + 1,000 = 3,500

Probability of selecting a person who will vote for Candidate 3 or 4: 1,000 / 3,500 = 2/7

Therefore, if 1,000 more voters are surveyed, around 285 of them will likely prefer Candidate 3 or 4.

Answer 2

Use what you have learned about mutually inclusive and exclusive events.Apply the formula for calculating the probability of events A or B.There are four presidential candidates in a country. A street survey was conducted asking 2,500 registered voters which candidate they will vote for in the coming election. The table summarizes the results of the survey.Presidential Candidates Number of SupportersCandidate 1 250Candidate 2 1,250Candidate 3 450Candidate 4 550Part 1: What is the probability of randomly selecting a person who will vote for Candidate 1 or 2?(2 points)Responses2502500250 over 2500150025001500 over 2500100025001000 over 2500125025001250 over 2500

Answer 3

[AI-generated answer — Bot GPT 3.5]

To calculate the probability of randomly selecting a person who will vote for Candidate 1 or 2, we need to add the number of supporters for Candidate 1 and Candidate 2, then divide by the total number of voters surveyed.

Number of supporters for Candidate 1: 250
Number of supporters for Candidate 2: 1,250

Total number of supporters for Candidate 1 or 2: 250 + 1,250 = 1,500

Total number of voters surveyed: 2,500

Probability of selecting a person who will vote for Candidate 1 or 2: 1,500 / 2,500 = 0.6

Therefore, the probability of randomly selecting a person who will vote for Candidate 1 or 2 is 0.6 or 60%.