Compound Events Portfolio Worksheet
Directions: Use this worksheet to record your answers to the two Compound
Events portfolio activities. When you are finished, save this worksheet with your
answers and submit it for a portfolio grade.
Mutually Inclusive and Exclusive Events -
Portfolio
Record your answers below.
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?
b. If 1,000 more voters are surveyed, how many of them will likely prefer
Candidate 3 or 4? Explain the answer.
a. To find the probability of randomly selecting a person who will vote for Candidate 1 or 2, we add the number of supporters for Candidate 1 and Candidate 2 and divide by the total number of voters surveyed.
Probability = (250 + 1250) / 2500
Probability = 1500 / 2500
Probability = 0.6 or 60%
b. If 1,000 more voters are surveyed, the number of supporters for Candidate 3 or 4 can be estimated by maintaining the same ratio of supporters.
Candidates 3 and 4 supporters: 450 + 550 = 1000
Ratio of Candidate 3 or 4 supporters to total voters: 1000 / 2500 = 0.4
Estimating for an additional 1000 voters:
Number of voters likely to prefer Candidate 3 or 4 = 0.4 * 1000 = 400
Therefore, if 1,000 more voters are surveyed, it is likely that 400 of them will prefer Candidate 3 or 4.
What is the probability of randomly selecting a person who will vote for
Candidate 1 or 2?
To find the probability of randomly selecting a person who will vote for Candidate 1 or 2, we add the number of supporters for Candidate 1 and Candidate 2 and divide by the total number of voters surveyed.
Probability = (Number of supporters for Candidate 1 + Number of supporters for Candidate 2) / Total number of voters surveyed
Probability = (250 + 1250) / 2500
Probability = 1500 / 2500
Probability = 0.6 or 60%
Therefore, the probability of randomly selecting a person who will vote for Candidate 1 or 2 is 60%.