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

Algebra ->  Probability-and-statistics -> 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       Log On


   

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(20086) About Me  (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

P%28Y%29+=+52%2F129

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

P%28M%29+=+16%2F129

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

P%28Y_and_M%29+=+5%2F129

The we use the "sieve" formula:

P%28Y_or_M%29+=+P%28Y%29+%2B+P%28M%29+-+P%28Y_and_M%29

P%28Y_or_M%29+=+52%2F129%2B16%2F129-5%2F129

P%28Y_or_M%29=63%2F129

P%28Y_or_M%29=21%2F43

P%28Y_or_M%29=.488372093

That's choice a.

Edwin