Question 982686: On a survey question, 69 people answered yes to the question, 12 were male. On the same survey question, 62 people answered no to the question, 9 were male. If one person were selected at random, what is the probability that the person answered yes or was male. Round to 3 decimal places.
Please solve and show work. Thank you very much.
Answer by mathmate(429)   (Show Source):
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Given:
In a survey, 69 persons answered yes, of which 12 were male.
62 persons answered no, of which 9 were male.
Find probability of a person randomly chosen answered yes or is male.
Solution:
There is a total of 69+62=131 respondents.
Out of which 69 answered yes, and 9 males answered no.
So there is a total of 69+9=78 possible "successes" in the pick out of 131 persons.
Therefore the probability of success, meaning either responded yes or is male, is
78/131=0.5954198...=0.595
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