What’s the answer to this question

What can you determine about the solutions of this system

How much orange juice do you need to make 2 servings of lemony orange slush?

There are three bags: a (contains 2 white and 4 red balls), b (8 white, 4 red) and c (1 white 3 red). you select one ball at random from each bag, observe that exactly two are white, but forget which ball came from which bag. what is the probability that you selected a white ball from bag a?