Suppose that ${}_S$:$\{0,1{\}}^3\{0,1{\}}^3$ be an S$-$box defined by

Where $(Y_1,Y_2,Y_3)={}_S(x_1,x_2,x_3).$ Suppose that $(x_1,x_2,x_3)$ is chosen uniformly at

random from the set $\{0,1{\}}^3.$ Find $Pr[x_{1}o+x_{2}o+Y_{2}o+Y_3=0].$