Yahtzee (5.3, 6.3) In the game of Yahtzee, 5 sixsided dice are rolled simultaneously. To get a Yahtzee, the player must get the same number on all 5 dice.

(a) Luis says that the probability of getting a Yahtzee in one roll of the dice is a 1

6 b

5

. Explain why Luis is wrong.

(b) Nassir decides to keep rolling all 5 dice until he gets a Yahtzee. He is surprised when he still hasn’t gotten a Yahtzee after 25 rolls. Should he be? Calculate an appropriate probability to support your answer.