Q1

Given that:

P(A) = 2/3, P(A\B) = 1/5 and P(AUB) = 4/5. Find P(B)

Q2

A study showed that 12% of women will likely develop breast cancer at some point in their lives. A woman with breast cancer has 95% chance of a positive test result from a medical screening examination. A woman without breast cancer has a 6%chance of getting a false positive test result. What is the probability that a woman has cancer given that she has a positive test result?