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)
0W

1 answer

Part 1:
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 and then divide by the total number of registered voters.

Probability = (250 + 1250) / 2500
Probability = 1500 / 2500
Probability = 0.6

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

Part 2:
If 1,000 more voters are surveyed, the total number of registered voters will be 3,500.

To calculate the number of voters who will likely prefer Candidate 3 or 4, we need to add the number of supporters for Candidate 3 and Candidate 4.

Number of voters who will likely prefer Candidate 3 or 4 = 450 + 550
Number of voters who will likely prefer Candidate 3 or 4 = 1000

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