According to a survey in one U.S.city,49% of women between the ages and 25 of 35 are married,47% are working full time,and 21% are married and working full time.If a woman between the ages of 25 and 35 is picked at random from the city,what is the probability that she is working full time or married but not both?
A)0.79
B)0.25
C)0.75
D)0.54
E)0.96

Question

Quizplus · Accepted Answer

From the given information, we know:
- P(married) = 0.49
- P(working full time) = 0.47
- P(married and working full time) = 0.21

We can use the formula:
P(A or B) = P(A) + P(B) - P(A and B)

To find the probability that a woman is working full time or married but not both, we need to find:
P(working full time or married but not both) = P(working full time) + P(married) - P(married and working full time)

P(working full time or married but not both) = 0.47 + 0.49 - 0.21 = 0.75

Therefore, the probability that a woman between the ages of 25 and 35 is working full time or married but not both is 0.75, which matches with option D.

According to a Survey in One U