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
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%.