Two companies A and B are offering 70 and 50 products respectively. Company A is offering 40 software products and 30 hardware products. Company B is offering x hardware products and y software products to be determined. If a product is selected at random, what is the probability that (a)This product is a hardware product given that is from company B? (in terms of y) (b)This product is a hardware product given that is from company A? (C) For what values of y will the probability in part (a) be greater than the probability in part (b)?