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 poi
nts)
To calculate the probability of selecting a person who will vote for Candidate 3 or 4, we first need to calculate the total number of supporters for Candidate 3 and 4:
Number of supporters for Candidate 3 = 450
Number of supporters for Candidate 4 = 550
Total supporters for Candidate 3 and 4 = 450 + 550 = 1000
The probability of selecting a person who will vote for Candidate 3 or 4 can be calculated by dividing the total number of supporters for Candidate 3 and 4 by the total number of voters surveyed (2,500 + 1,000 = 3,500):
Probability = Total supporters for Candidate 3 and 4 / Total number of voters surveyed
Probability = 1000/3500
Probability = 0.2857
Therefore, if 1,000 more voters are surveyed, approximately 285 of them will likely prefer Candidate 3 or 4.