) in a group of 20 executives 8 belong to finance department, 7 belong to operations department and the rest belong to human resources department. In another group of 30 executives 18 belong to finance department, 7 belong to operations department and the rest belong to human resources department. And in one more group of 40 executives 28 belong to finance department, 7 belong to operations department and the rest belong to human resources department. Two executives have been selected randomly from one of the group.
a) What is the probability that they belong to finance group?
b) If the selected two executives belong to non-finance group then find the probabilities they selected from group 1, 2 and 3.