In many board games that involve two six-sided dice

Question

In many board games that involve two six-sided dice, you are allowed a second move if you roll two sixes. What is the probability this could happen to you three times in a row?

In many board games that involve two six-sided dice, you are allowed a second move if you roll two sixes. What is the probability this could happen to youthree times in a row?

Answer 1

The probability that you roll two sixes is (1/6) * (1/6) = (1/36).  

 

The probability that this happens three times in a row is 

 

(1/36) * (1/36) * (1/36) = 1/46656