1. You don`t need to simplify answers for this problem, complicated fractions are OK. Two boxes have colored balls in them. Box A has 3 blue and 7 red balls in it, box B has 1 blue and 1 red.
a) Six balls are drawn without replacement from box A. What is the chance that exactly two balls are blue or the first two balls drawn are the same color?
b) A ball is randomly selected from box A and put into box B. Then a ball is randomly selected from the three balls in box B. What is the chance that the ball put from box A into box B is blue, given that the ball drawn from box B is blue?