Of the 84 people who answered "yes" to a question, 14 were male. Of the 73 people that answered "no" to the question, 12 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male?
Of the 84 people who answered "yes" to a question, 14 were male. Of the 73 people that answered "no" to the question, 12 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Question
- Of the 84 people who answered "yes" to a question, 14 were male. Of the 73 people that answered "no" to the question, 12 were male. If one person is selected at random from the group, what is the
probability that the person answered "yes" or was male?
Expert Solution
Step 1
Explanation:
Total number of people who answered 'Yes' = 84
Number of male who answered 'yes' = 14
It means,
Number of Female who answered 'yes' = 8414 = 70
Total number of people who answered "NO" = 73
Number of male who answered "NO" = 12
It means,
Number of Female who answered "NO" = 7312 = 61
Respond | Male | Female | Total |
Yes | 14 | 70 | 84 |
No | 12 | 61 | 73 |
Total | 26 | 131 | 157 |
Total number of people = 157
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