Probability expressed through tree diagram

Question

Approximately 1% of women aged 40-50 have breast cancer. A woman has a 90% chance of receiving a positive test result from a mammogram, while a woman without breast cancer has a 10% chance of a false positive result. What is the probability that a woman has cancer given that she just received a positive test result? Expressive your answer through a tree diagram.

Answer 1

 

                0.90     P(cancer, positive test) = 0.009

      0.01 <

     /          0.10     P(cancer, negative test) = 0.001

1 <

     \          0.10     P(no cancer, positive test) = 0.099

      0.99 <

                0.90     P(no cancer, negative test) = 0.891