Probability

Question

In the game of Yahtzee, 50 points are earned for rolling a Yahtzee, which occurs when all 5 dice come up with the same number.  What is the probability of rolling a Yahtzee made up of all 3"s?  Express your answer as fraction.

Answer 1

First die: ANY number.

P(2nd die the same) = 1/6

P(dies 2 & 3 are same as 1st) = (1/6)²

P(dies 2, 3 & 4 are same as 1st) = (1/6)³

P(dies 2-5 are same as 1st) = (1/6)⁴