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?

Answered: Of the 84 people who answered "yes" to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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?

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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' = 84 $-$ 14 = 70

Total number of people who answered "NO" = 73

Number of male who answered "NO" = 12

It means,

Number of Female who answered "NO" = 73 $-$ 12 = 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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