Q: If two events, A and B, are such that P(A)=0.5, P(B)=0.3, and P(A intersection B)=0.1, find the following:

1) P(A|A union B)

2) P(A|A intersection B)

I keep getting the wrong result when I use the conditional probability formula. I think it is because A and B are dependent events and I am not sure how to treat them.