A random walker travels along a onedimensional discrete lattice (labelled by points –N, –N+1, ....., 0, ..... N – 1, N) by putting random steps of length 1 unit towards left or right. If the initial position is zero, the probability of finding the walker at the 0th position in a 6 step walk is
1
\(\frac {9} {256}\)
2
\(\frac {5} {18}\)
3
\(\frac {1} {9}\)
4
\(\frac {5} {16}\)