Question 43
In the game “Geographic Die,” each player rolls a die $n$ times and records the sequence. The first roll gives the distance in meters to walk north, the second east, the third south, the fourth west, the fifth north, and so on. The distance from the starting point is then measured. The player closest to the starting point wins.
a) Márcia rolled 214365 (6 rolls). How far is she from the starting point?
b) With 4 rolls, how many sequences return a player to the starting point after the last roll?
c) With 5 rolls, how many sequences return a player to the starting point after the last roll?
a) Márcia rolled 214365 (6 rolls). How far is she from the starting point?
b) With 4 rolls, how many sequences return a player to the starting point after the last roll?
c) With 5 rolls, how many sequences return a player to the starting point after the last roll?