Question

A sample of 100 individuals was selected for a focus group to determine information concerning consumer behavior. Among the questions asked was "Have you noticed our advertisements on TV?" Overall, 76 answered yes. 45 males were interviewed, and 27 males answered yes.

What is the probability that a respondent chosen at random is a female and has noticed the advertisement on TV?

Answer 1

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total = 100
total yes = 76
total no = 100-76 = 24
male interviewd = 45, female interevied = total - male interviewed = 100-45 = 55

27 male answewred yes, then 49 female answered yes and 18 male answered no.

So,
yes no total
male 27 18 45
female 49 6 55
total 76 24 100

P(randomly choosen is a female and has noticed Ad on TV) = Number of females who have noticed ad on tv/total = 49/100 = .49

Answer is 0.49