The accompanying table gives information on the type of coffee selected by someone purchasing a single cup at a particular airport kiosk.

Blood Group O A B AB 1 .082 .106 .008 .004 Ethnic Group 2 .135 .141 .018 .006 3 .215 .200 .065 .020 Small Medium Large Regular 14% 20% 26%

Decaf 20% 10% 10%

Suppose that an individual is randomly selected from the population, and define events by ,

, and .

a. Calculate P(A), P(C), and .

b. Calculate both and , and explain in context what each of these probabilities represents.

c. If the selected individual does not have type B blood, what is the probability that he or she is from ethnic group 1?