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?
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