Suppose that 20% of adults practices a gluten-free diet, 15% of adults practice a dairy-free diet, and 8% of adults practice both of these diets. one adult is selected at random.

a. given a random individual practices a glute-free diet, what is the probability they practice a dairy-free diet?

b. are events "practices a gluten-free diet" and "practices a dairy-free diet" independent?

c. given a random individual practices a dairy-free diet, what is the probability they do not practice a gluten free diet?