Question 2 15 pts Game of Thrones is an American fantasy drama television series created by David Benioff and D. B. Weiss for HBO. The last season aired in May of 2019. The series is known for killing off important characters at unexpected times. Assume the creators of the series decided to create a season 9 with 6 additional episodes introducing a new character named Slance Rinister. Further assume that one analyst came up with the following probabilities (listed in the table below) that the character Slance Rinister will die in each of the 6 episodes, NOTE: if he doesn't die then he would live past the conclusion of the last episode. Episode Number Slance Dies 1 2 3 4 5 6 lives Probability of Slance Death in the 0.03 0.1 0.15 0.1 0.1 0.20 episode Assume it was leaked online that after the end of 3 episodes of season 9, Slance Rinister is still alive. What is the conditional probability Slance Rinister lives through the end of season 9 given that at the end of episode 3 he is still alive? Keep at least 3 decimal places in your final