Louis enjoys betting on sports, and his two favourite sports are basketball and baseball. Each week, Louis places multiple bets on basketball games and multiple bets on baseball games. In any given week, let X denote the number of bets on basketball games that Louis wins (i.e., makes money on) and let Y denote the number of bets on baseball games that he wins. Assume that the marginal probability distributions of X and Y are given below: 3 2 10 14 PX(:D) 0.49 0.05 0.46 y 4 6 13 py(y) 0.27 0.56 0.17 Assuming that X and Y are independent, find the probability that Louis wins more than 15 total bets this week across both basketball and baseball games