Answer all questions with explanation

4. The game of Yahtzee is played with five fair dice. The goal is to roll certain hands', such as Yahtzee (all five dice showing the same number) or a full house (three of a kind and two of a kind). In the first round of a player's turn, the player rolls all five dice. Based on the outcome of that roll, the player has a second and third round, where he/she can then choose to re-roll any subset of the dice to get a desired hand. (a) What is the probability of rolling a Yahtzee on the first round? (b) Suppose that, on the second round, the dice are {2, 3, 4,6,6}. You decide to re-roll both sixes in the third round. What is the probability that you roll either a small straight or a large straight (a large straight is where all five dice are in a row)