Of all 40-year-old women, 1% have breast cancer. If a woman has breast cancer, a mammogram will give a positive indication for cancer 90% of the time. If a woman does not have breast cancer, a mammogram will give a positive indication for cancer 9% of the time. If a 40-year-old mammogram gives a positive indication for cancer, what is the probability that she has cancer?

9.17%

Step-by-step explanation:

The probability of a positive indication by a mammogram is given by the probability of positive indication when a woman has cancer, added to the probability of positive indication when a woman does not have cancer.

Given that the indication is positive, the probability that a woman actually has cancer is:

The probability that the randomly selected woman has cancer is 9.17%

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

27

step-by-step explanation: