Game Basics Place your marker in the center hexagon roll a d

Game Basics: Place your marker in the center hexagon; roll a die; move one space in the direction indicated by the 6-point rose. Repeat. Goal: Move your marker off the game board. Data: Count the number of rolls it takes to exit the board (minimum number is 4 rolls). Questions: What is the probability of exiting the board in exactly 4 rolls? How could you calculate this probability?

Solution

P(X<=4)=P(x=1)+P(x=2)+P(x=3)+P(x=4)=[1+(1/924)+1+(924/18564)]/3060=2.0509/3060=.00067.