Molly is making peanut butter cookies. To make a batch of cookies she needs 34 cups of peanut butter, 1.5 cups of sugar, and 1 egg. If Molly has 3 cups of peanut butter, 9 cups of sugar, and 5 eggs, how many batches of cookies can she make?

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?