A random person is selected from a group of people. The probability that s/he has a pollen allergy is 0.3. The probability that s/he has a dust allergy is 0.2. The probability that s/he has a pollen and dust allergy is 0.1.

A) Find the probability that s/he has none of the two types of allergy.

B) Find the probability that s/he has either a pollen allergy or a dust allergy.

C) Find the probability that s/he has a only of the two types of allergy.

D) If s/he is found to have a pollen allergy, what is the probability she also has a dust allergy?

E) Are having a pollen allergy and having a dust allergy independent? Why or why not?