I need help on this multiple choices question 2 Yahtzee is a

I need help on this multiple choices question.

2. Yahtzee is a game that involves rolling five dice to make certain combinations. The dice can be rolled up to three times in a turn. A player can save any dice that are wanted to complete a combination and then re-roll the other dice. A “yahtzee” is a five-of-a-kind and holds the game\'s highest point value (Ex: 3,3,3,3,3). A “full house” is a three-of-a-kind plus a pair (Ex: 3,3,3,5,5)

a) Suppose a player goes into the final roll of their turn with the values 3,3,3 and rolls 2 dice. What is the probability that the player gets a “full house”? Consider “yahtzee” as not a “full house”.

      A. 0.1388

      B. 0.1666

      C. 0.2578

      D. 0.4125

      E. None of the above.

b) The probability of rolling a yahtzee during a single turn is 0.04603. A game of Yahtzee consists of 13 turns per player. Find the probability that a player gets one or more “yahtzees” during a game. (Hint: It might be easier to find the probability that a player gets no “yahtzees” during a game.)

      A. 0.8438

      B. 0.6024

      C. 0.2500

      D. 0.4581

      E. 0.0156

Thank you,

Solution

a)

4C3 / 52C4 = 0.000014775

b)

13 * 0..04603 = 0.59839