To calculate the probability of randomly 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 and divide it by the total number of voters surveyed.
Total supporters for Candidate 1 and 2 = 250 + 1250 = 1500
Total number of voters surveyed = 2500
Probability = Total supporters for Candidate 1 and 2 / Total number of voters surveyed
Probability = 1500 / 2500
Probability = 0.6
Therefore, the probability of randomly selecting a person who will vote for Candidate 1 or 2 is 0.6 or 60%.
Use what you have learned about mutually inclusive and exclusive events.
Apply the formula for calculating the probability of events A or B.
Question 1
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
a. What is the probability of randomly selecting a person who will vote for
Candidate 1 or 2?
3 answers
Which one is it?
I apologize for the mistake in my response. Let's calculate the correct probability.
Total supporters for Candidate 1 and 2 = 250 + 1250 = 1500
Total number of voters surveyed = 2500
Now, to find the probability of randomly selecting a person who will vote for Candidate 1 or 2, we need to use the formula for calculating the probability of events A or B.
Probability (A or B) = P(A) + P(B) - P(A and B)
In this case, P(A) is the probability of selecting a person who will vote for Candidate 1, P(B) is the probability of selecting a person who will vote for Candidate 2, and P(A and B) is the probability of selecting a person who will vote for both Candidate 1 and 2. Since the events of voting for Candidate 1 and 2 are mutually exclusive, P(A and B) = 0.
P(A) = 250/2500 = 0.1
P(B) = 1250/2500 = 0.5
Using the formula:
Probability (A or B) = 0.1 + 0.5 - 0
Probability (A or B) = 0.6 or 60%
Therefore, the correct probability of randomly selecting a person who will vote for Candidate 1 or 2 is 0.6 or 60%.
Total supporters for Candidate 1 and 2 = 250 + 1250 = 1500
Total number of voters surveyed = 2500
Now, to find the probability of randomly selecting a person who will vote for Candidate 1 or 2, we need to use the formula for calculating the probability of events A or B.
Probability (A or B) = P(A) + P(B) - P(A and B)
In this case, P(A) is the probability of selecting a person who will vote for Candidate 1, P(B) is the probability of selecting a person who will vote for Candidate 2, and P(A and B) is the probability of selecting a person who will vote for both Candidate 1 and 2. Since the events of voting for Candidate 1 and 2 are mutually exclusive, P(A and B) = 0.
P(A) = 250/2500 = 0.1
P(B) = 1250/2500 = 0.5
Using the formula:
Probability (A or B) = 0.1 + 0.5 - 0
Probability (A or B) = 0.6 or 60%
Therefore, the correct probability of randomly selecting a person who will vote for Candidate 1 or 2 is 0.6 or 60%.
1 answer