Question 1. We have two bins. The first bin has 6 blue marbles and 4 yellow marbles. The second bin has 3 blue marbles and 4 yellow marbles. We choose a bin at random and then draw a marble from that bin. a) If the marble we select is yellow, what is the probability that we chose the first bin? b) Now suppose we put the yellow marble from (a) back in the bin it was drawn from and then draw a marble from the same bin. This marble is also yellow. With this new information is it more or less likely that we chose the first bin? What is the probability that we chose the first bin now?