A square is drawn with points on (2,0) , (0,2) , (0,-2) , (-2,0). An ant is placed on the origin on this graph and moves 4 times randomly, each time moving only one space. The ant can move only diagonally- no going horizontally or vertically. For example, its first move could go to (1,1) , then (2,2) , then (1,3) , and lastly (2,4). What is the probability that the ant will end up on the sides of the square drawn? Express your answer as a decimal rounded to the nearest ten-thousandths.