can you please do this question?

3. (20 points) Alice, Bob, and Carol roll a fair 5sided die repeatedly in that order: Alice, Bob, Carol, Alice, Bob, Carol, Alice... Vou can assume rolls are independent. For each of the following games, find the probability that Alice m: (a) (5 points) Game A: The first person who rolls the same number as on the previous roll in the game (not their own previous roll) wins. For example, if Alice rolls a "4", then Bob a "3", then Carol a "1", then Alice a "4", then Bob a "4", Bob wins because his "4" matched the "4" that Alice rolled just before him. (b) (5 points) Game B: The first person who rolls the same number as on the previous roll of theirs in the game wins. For example, if Alice rolls a "4", then Bob a "3", then Carol a "1", then Alice a "5", then Bob a "3", Bob wins because his "3" matches the "3" that he rolled in his previous turn. (c) (5 points) Game C: The first person who rolls the same number as on either of the two previous rolls (not their own two previous rolls but the last rolls of each of the other two players) in the game wins. For example, if Alice rolls a "4", then Bob a "3", then Carol a "1", then Alice a "4", then Bob a "1", Bob wins because his "1" matched the "1" that Carol rolled in her last turn. (d) (5 points) Game D: The first person who rolls a number that has appeared already in the game wins. For example, if Alice rolls a "4", then Bob a "3", then Carol a "1", then Alice a "5", then Bob a "4", Bob wins because his "4" has already appeared in the game