urgent help needed

consider a field which is square in shape and 100*100 units in area.i am standing at north-west corner of the field.from any place i am allowed to take one of the following steps

1.1 unit to the east

2.1 unit to the south

3.sqrt(2) units to the south-east

i am not allowed to move out of the field.

i randomly pick one of the possible moves at each step and reach the south-east corner of the field?the odds that i took the shortest path are 1:x?

find x?