In the game of Yahtzee, five dice are thrown. On such a roll, Pat gets a 4,4,4,3, and 5. The rules allow her two more chances to roll any subset of the 5 dice. Hoping for a Yahtzee, she saves the first three dice and re-rolls the dice that had a 3 and a 5. her strategy is:

a. if her 2nd roll is 4 and 4 then she stops and has achieved a Yahtzee

b. if her 2nd roll is a 4 and another number, she will keep the four, and roll again hoping for a 4.

c. if her 2nd roll has no 4's then she will re-reoll those two dice one more time trying to get both dice to be a 4.

Probability of Yahtzee?

Question

In the game of Yahtzee, five dice are thrown. On such a roll, Pat gets a 4,4,4,3, and 5. The rules allow her two more chances to roll any subset of the 5 dice. Hoping for a Yahtzee, she saves the first three dice and re-rolls the dice that had a 3 and a 5. her strategy is:

a. if her 2nd roll is 4 and 4 then she stops and has achieved a Yahtzee

b. if her 2nd roll is a 4 and another number, she will keep the four, and roll again hoping for a 4.

c. if her 2nd roll has no 4's then she will re-reoll those two dice one more time trying to get both dice to be a 4.

Probability of Yahtzee?