Part 1:
To calculate the probability of randomly selecting a person who will vote for Candidate 1 or Candidate 2, we need to add the number of supporters for Candidate 1 and Candidate 2 and divide it by the total number of voters surveyed.
Number of supporters for Candidate 1 and 2: 1250 + 1250 = 2500
Total number of voters surveyed: 2500
Probability = Number of supporters for Candidate 1 and 2 / Total number of voters surveyed
Probability = 2500 / 2500
Probability = 1
Therefore, the probability of randomly selecting a person who will vote for Candidate 1 or Candidate 2 is 1 or 100%.
Part 2:
If 1,000 more voters are surveyed, we can simply look at the current distribution of supporters for Candidate 3 and Candidate 4 and assume that the additional voters will also be distributed in the same way.
Number of supporters for Candidate 3 and 4: 450 + 550 = 1000
Therefore, if 1,000 more voters are surveyed, it is likely that 500 of them will prefer Candidate 3 and 500 will prefer Candidate 4.
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 1250Candidate 21,250Candidate 3450Candidate 4550 Part 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 2500Question 2Part 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) 0Word(s)Skip to navigation
1 answer