If we plot the points possible to reach from initial position, we get a tilted square.U can try by taking lesser than 9 first, for eg. 2 or 3.We get a diagram as shown below.The dots represent possible positions after 9 steps, the darkest dot is the starting position.Steps are taken along 1 diagonal

 

Total points are 2*(1+3+5+...17)+ 19-1

(We subtract 1 as we can't reach startin position in odd no of steps)

=180.

4 points are a distance of 1 step from I.P

therefore probability=4/180=1/45

 

 

PS. I am not sure of the solution...if u find any mistakes pl reply and do not hesitate to vote!