The population of a particular country consists of three ethnic groups. Each individual belongs to one of the four major blood groups. The accompanying joint probability table gives the proportions of individuals in the various ethnic group-blood group combinations.
Blood Group
O A B AB
1 0.082 0.109 0.007 0.004
Ethnic Group 2 0.132 0.141 0.018 0.007
3 0.215 0.207 0.058 0.020
Suppose that an individual is randomly selected from the population, and define events by A = {type A selected}, B = {type B selected}, and C = {ethnic group 3 selected}.
(a) Calculate P(A), P(C), and P(A ∩ C). (Enter your answers to three decimal places.)