The following is a table showing the results of a poll taken on campus. Will You Vote in the Upcoming Election?Male FemaleYes 30304444No 26262424Not decided 28283636 What is the probability that a randomly selected student from this poll is malemale or has not decided whether tohas not decided whether to vote in the upcoming election? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Question
The following is a table showing the results of a poll taken on campus. Will You Vote in the Upcoming Election?Male FemaleYes 30304444No 26262424Not decided 28283636 What is the probability that a randomly selected student from this poll is malemale or has not decided whether tohas not decided whether to vote in the upcoming election? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Solution
To solve this problem, we first need to calculate the total number of students who participated in the poll.
The total number of students is the sum of all the students in the table, which is:
Total = (Male Yes + Male No + Male Not decided) + (Female Yes + Female No + Female Not decided) Total = (3030 + 2626 + 2828) + (4444 + 2424 + 3636) Total = 8484 + 10504 Total = 18988
Next, we need to calculate the number of male students and the number of students who have not decided whether to vote.
The total number of male students is the sum of Male Yes, Male No, and Male Not decided, which is:
Male Total = 3030 + 2626 + 2828 Male Total = 8484
The total number of students who have not decided whether to vote is the sum of Male Not decided and Female Not decided, which is:
Not decided Total = 2828 + 3636 Not decided Total = 6464
The probability that a randomly selected student is a male or has not decided whether to vote is the sum of the probability that the student is a male and the probability that the student has not decided whether to vote.
Probability (Male or Not decided) = (Male Total / Total) + (Not decided Total / Total) Probability (Male or Not decided) = (8484 / 18988) + (6464 / 18988) Probability (Male or Not decided) = 0.4468 + 0.3404 Probability (Male or Not decided) = 0.7872
So, the probability that a randomly selected student from this poll is a male or has not decided whether to vote in the upcoming election is approximately 0.7872, or 7872/10000 when expressed as a fraction in lowest terms.
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