You are one space short of winning a child's board game and must roll a 1 dice to claim victory. You want to know how many rolls it might take.

a) Describe how you would simulate rolling the dice until you get 1.
b) Run at leaset 30 trails
c) Based on your stimulation, estimate the probabilities that you might win on the first roll, the second, the third.
d) Calculate the actual probability model.
e) Compare the distributions of outcomes in your simulation to the probability model.