Suppose a player goes into the final roll of their turn with the values of 3,3,3

Question

Suppose a player goes into the final roll of their turn with the values of 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"

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 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 and a pair (Ex: 3,3,3,5,5)

Explanation / Answer

Suppose a player goes into the final roll of their turn with the values of 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"

5C 2 = 10

52C2 = 1326

probability = 10/1326 = 0.0075

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