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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the probability of selecting a person who will vote for Candidate 1 or 2, we need to find the total number of supporters for Candidate 1 and 2 combined.

Total number of supporters for Candidate 1 and 2 = 250 + 1250 = 1500

Total number of registered voters in the survey = 2500

Therefore, the probability of randomly selecting a person who will vote for Candidate 1 or 2 is:

P(Candidate 1 or 2) = Number of supporters for Candidate 1 and 2 / Total number of registered voters
P(Candidate 1 or 2) = 1500 / 2500
P(Candidate 1 or 2) = 0.6

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

Answer 2

make a summary of the answer

Answer 3

[AI-generated answer — Bot GPT 3.5]

The probability of randomly selecting a person who will vote for Candidate 1 or 2 in the upcoming election is 0.6 or 60%. This was calculated by adding the number of supporters for Candidate 1 and Candidate 2 and dividing by the total number of registered voters in the survey.