7. (20 points) Alice got a positive result from her breast cancer test, i.e. diagnose to have a breast cancer. under the below conditions, what’s the probability that Alice has breast cancer?
1% of women have breast cancer in general
80% of people who have breast cancer get positive result from the test (true-positive case)
10% of people who don’t have breast cancer get positive result from the test (false-positive case)

Please use Bayes Theorem :

In this case, it will be
Probability ( having cancer | got positive result ) 
= Probability ( got positive result | having cancer ) * Probability (having cancer)
/ Probability (got positive result)
Probability = (  ) 