2014 AIME I Problems/Problem 11
Problem 11
A token starts at the point 
of an 
-coordinate grid and them makes a sequence of six moves. Each move is 1 unit in a direction parallel to one of the coordinate axes. Each move is selected randomly from the four possible directions and independently of the other moves. The probability the token ends at a point on the graph of 
is 
, where 
and 
are relatively prime positive integers. Find 
.
