What is the probability of randomly selecting a person who will vote for Candidate 1 or 2?
Responses
250 over 2500
1500 over 2500
1000 over 2500
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.
The total number of voters surveyed is 2500. If we assume that the distribution of preferences for Candidate 1 and 2 is equal, then the probability of randomly selecting a person who will vote for Candidate 1 or 2 is:
(250 + 250) / 2500 = 500 / 2500 = 1/5
Therefore, the probability of randomly selecting a person who will vote for Candidate 1 or 2 is 1/5 or 1000/5000.
If 1,000 more voters are surveyed, the total number of voters surveyed will be 2500 + 1000 = 3500.
Since we do not have specific information on the distribution of preferences for Candidate 3 and 4, we can assume an equal distribution. Therefore, the number of voters who will likely prefer Candidate 3 or 4 out of 3500 voters would be:
(1750 + 1750)/3500 = 3500/3500 = 1
Therefore, out of the additional 1000 voters surveyed, approximately 500 voters will likely prefer Candidate 3 and 500 voters will likely prefer Candidate 4.