# Probability of catching a disease

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?

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?

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