13. A game of chance requires the player to throw a 6-sided die and a 12-sided die. [3] a) Create a probability histogram for this distribution. [3] b) The player pays $5 to play and wins $10 for any odd roll and wins nothing for any even roll. Calculate the expected winnings for the player and determine if this is a fair game or not. 14. When two teams battle in a championship final, the Stars have a 54% chance of winning a game when playing at home and the Pros have a 57% chance of winning a game when playing at home. In a best-of-three matchup, the first game will be played at the Stars home field, the second game at the Pros home field and the third game back at the Stars home field. [1] a) What is the probability the Stars win the final in two straight games? [1] b) What is the probability the Pros win the final in two straight games? [1] c) What is the probability the Stars win the final in three games? [1] d) What is the probability the Pros win the final in three games? [2] e) Create a probability histogram for this distribution