SOLUTION: Of the 52 people who answered yes to a quetion, 5 were male. Of the 77 that answered no to the question 11 were male. If one person is selected at random from the group, what is

Question 162966: Of the 52 people who answered yes to a quetion, 5 were male. Of the 77 that answered no to the question 11 were male. If one person is selected at random from the group, what is the probability that the person answered yes or was male.
a. 0.488
b. 0.124
c. 0.096
d. 0.527
How do I go about solving this?
Thank you for your help. I really appreciate it.
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

52 people answered yes and 77 answered no.  So the total number
of people answering the question was 52+77 or 129 people in the 
group. 52 people of the 129 answered yes, so



5 males answered yes and 11 answer no.  So there were 5+11 or 16 
males in the group, so



Of the 52 people who answered yes to the question, 5 were male. 
These 5 were the only group members of the 129 who answered yes 
AND were males, so



The we use the "sieve" formula:











That's choice a.

Edwin

RELATED QUESTIONS
Of the 57 people who answered "yes" to a question, 8 were male. Of the 61 people that... (answered by stanbon)
Of 78 people who answered "yes" to a question, 20 were male. Of the 72 people who... (answered by solver91311)
Of the 57 people who answered "yes" to a question, 8 were male. Of the 61 people that... (answered by Boreal)
Of the 58 people who answered "yes" to a question, 10 were male. Of the 95 people that... (answered by Edwin McCravy)
Of the 81 people who answered "yes" to a question, 6 were male. Of the 70 people that... (answered by addingup)
In response to a questionnaire 57 people answered �yes� to a particular question. Of... (answered by robertb)
On a survey question, 69 people answered "yes" to the question, 12 were male. On the same (answered by solver91311)
On a survey question, 69 people answered yes to the question, 12 were male. On the same... (answered by mathmate)
A circle is divided into 9 uneven "pie" shaped pieces. Each section is labeled 1, 2, ...... (answered by ikleyn)