The probability to catch disease A is 10%. The probability to get diseases B is 17%. The probability to get at least one of the two A or B is 20%.
a) What is the probability to get sick with both A and B?
b) What is the probability to get A or B but not both at the same time?
c) What is the conditional probability to get A given that we know that we have B?
d) Are the two illnesses independent of each other?
My answers:
a.) A union B is 7%
b.) Do not know how to do this one.
c.) I got 7/17
d.) No, since P(A union B) does not equal P(A)P(B)
Can anyone verify these answers and show me what I got wrong and how to do b?