A is the correct answer
here we made three case
case one when we choose the corner in the first choice then we have to choose it two of adjacent
$\frac{4}{64}*\frac{2}{63}$
because there are four ways to choose the corner of the chess then each corner have two adjacent
case 2nd
choose a green color box (watch figure)then it adjacent
$\frac{24}{64}*\frac{3}{63}$
case 3rd
choose an inner box which can have 4 adjacent boxes (in figure blue color)
$\frac{36}{64}*\frac{4}{63}$
adding all three case we will get 1/18